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Finding the Fourth Proportional to 9,673.80, 14,510.70 and 8,219.40

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Solution

The fourth proportional to 9,673.80, 14,510.70 and 8,219.40 is: 12,329.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.80 : 14,510.70 = 8,219.40 : x
  2. Step 2: Convert to fraction form
    9,673.80/14,510.70 = 8,219.40/x
  3. Step 3: Cross multiply
    9,673.80x = 14,510.70 × 8,219.40
  4. Step 4: Simplify right side
    9,673.80x = 119,269,247.58
  5. Step 5: Solve for x
    x = 119,269,247.58/9,673.80
  6. Step 6: Final answer
    x = 12,329.10

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.