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Finding the Fourth Proportional to 10,446.84, 14,418 and 6,468.12

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Solution

The fourth proportional to 10,446.84, 14,418 and 6,468.12 is: 8,926.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.84 : 14,418 = 6,468.12 : x
  2. Step 2: Convert to fraction form
    10,446.84/14,418 = 6,468.12/x
  3. Step 3: Cross multiply
    10,446.84x = 14,418 × 6,468.12
  4. Step 4: Simplify right side
    10,446.84x = 93,257,354.16
  5. Step 5: Solve for x
    x = 93,257,354.16/10,446.84
  6. Step 6: Final answer
    x = 8,926.85

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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.