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Finding the Fourth Proportional to 10,402.64, 14,354.28 and 6,210

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Solution

The fourth proportional to 10,402.64, 14,354.28 and 6,210 is: 8,568.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.64 : 14,354.28 = 6,210 : x
  2. Step 2: Convert to fraction form
    10,402.64/14,354.28 = 6,210/x
  3. Step 3: Cross multiply
    10,402.64x = 14,354.28 × 6,210
  4. Step 4: Simplify right side
    10,402.64x = 89,140,078.80
  5. Step 5: Solve for x
    x = 89,140,078.80/10,402.64
  6. Step 6: Final answer
    x = 8,568.99

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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.