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Finding the Fourth Proportional to 7,147.68, 9,860.64 and 4,314.24

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Solution

The fourth proportional to 7,147.68, 9,860.64 and 4,314.24 is: 5,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.68 : 9,860.64 = 4,314.24 : x
  2. Step 2: Convert to fraction form
    7,147.68/9,860.64 = 4,314.24/x
  3. Step 3: Cross multiply
    7,147.68x = 9,860.64 × 4,314.24
  4. Step 4: Simplify right side
    7,147.68x = 42,541,167.51
  5. Step 5: Solve for x
    x = 42,541,167.51/7,147.68
  6. Step 6: Final answer
    x = 5,951.74

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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.