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Finding the Fourth Proportional to 9,853.80, 14,780.70 and 9,767.40

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Solution

The fourth proportional to 9,853.80, 14,780.70 and 9,767.40 is: 14,651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.80 : 14,780.70 = 9,767.40 : x
  2. Step 2: Convert to fraction form
    9,853.80/14,780.70 = 9,767.40/x
  3. Step 3: Cross multiply
    9,853.80x = 14,780.70 × 9,767.40
  4. Step 4: Simplify right side
    9,853.80x = 144,369,009.18
  5. Step 5: Solve for x
    x = 144,369,009.18/9,853.80
  6. Step 6: Final answer
    x = 14,651.10

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Half 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.