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Finding the Fourth Proportional to 7,713.38, 10,644.38 and 4,356.13

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Solution

The fourth proportional to 7,713.38, 10,644.38 and 4,356.13 is: 6,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.38 : 10,644.38 = 4,356.13 : x
  2. Step 2: Convert to fraction form
    7,713.38/10,644.38 = 4,356.13/x
  3. Step 3: Cross multiply
    7,713.38x = 10,644.38 × 4,356.13
  4. Step 4: Simplify right side
    7,713.38x = 46,368,254.66
  5. Step 5: Solve for x
    x = 46,368,254.66/7,713.38
  6. Step 6: Final answer
    x = 6,011.41

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.