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Finding the Fourth Proportional to 7,775.71, 11,614.01 and 7,034.18

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Solution

The fourth proportional to 7,775.71, 11,614.01 and 7,034.18 is: 10,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.71 : 11,614.01 = 7,034.18 : x
  2. Step 2: Convert to fraction form
    7,775.71/11,614.01 = 7,034.18/x
  3. Step 3: Cross multiply
    7,775.71x = 11,614.01 × 7,034.18
  4. Step 4: Simplify right side
    7,775.71x = 81,695,036.86
  5. Step 5: Solve for x
    x = 81,695,036.86/7,775.71
  6. Step 6: Final answer
    x = 10,506.44

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.