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Finding the Fourth Proportional to 10,502.16, 14,492.98 and 6,966.05

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Solution

The fourth proportional to 10,502.16, 14,492.98 and 6,966.05 is: 9,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.16 : 14,492.98 = 6,966.05 : x
  2. Step 2: Convert to fraction form
    10,502.16/14,492.98 = 6,966.05/x
  3. Step 3: Cross multiply
    10,502.16x = 14,492.98 × 6,966.05
  4. Step 4: Simplify right side
    10,502.16x = 100,958,801.91
  5. Step 5: Solve for x
    x = 100,958,801.91/10,502.16
  6. Step 6: Final answer
    x = 9,613.15

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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.