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Finding the Fourth Proportional to 10,354.96, 14,287.08 and 6,631.12

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Solution

The fourth proportional to 10,354.96, 14,287.08 and 6,631.12 is: 9,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.96 : 14,287.08 = 6,631.12 : x
  2. Step 2: Convert to fraction form
    10,354.96/14,287.08 = 6,631.12/x
  3. Step 3: Cross multiply
    10,354.96x = 14,287.08 × 6,631.12
  4. Step 4: Simplify right side
    10,354.96x = 94,739,341.93
  5. Step 5: Solve for x
    x = 94,739,341.93/10,354.96
  6. Step 6: Final answer
    x = 9,149.18

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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.