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Finding the Fourth Proportional to 9,809.10, 14,713.65 and 9,002.70

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Solution

The fourth proportional to 9,809.10, 14,713.65 and 9,002.70 is: 13,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.10 : 14,713.65 = 9,002.70 : x
  2. Step 2: Convert to fraction form
    9,809.10/14,713.65 = 9,002.70/x
  3. Step 3: Cross multiply
    9,809.10x = 14,713.65 × 9,002.70
  4. Step 4: Simplify right side
    9,809.10x = 132,462,576.86
  5. Step 5: Solve for x
    x = 132,462,576.86/9,809.10
  6. Step 6: Final answer
    x = 13,504.05

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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.