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Finding the Fourth Proportional to 10,284.52, 15,426.14 and 4,437

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Solution

The fourth proportional to 10,284.52, 15,426.14 and 4,437 is: 6,655.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.52 : 15,426.14 = 4,437 : x
  2. Step 2: Convert to fraction form
    10,284.52/15,426.14 = 4,437/x
  3. Step 3: Cross multiply
    10,284.52x = 15,426.14 × 4,437
  4. Step 4: Simplify right side
    10,284.52x = 68,445,783.18
  5. Step 5: Solve for x
    x = 68,445,783.18/10,284.52
  6. Step 6: Final answer
    x = 6,655.22

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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.