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Finding the Fourth Proportional to 10,654.56, 14,705.78 and 6,624.42

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Solution

The fourth proportional to 10,654.56, 14,705.78 and 6,624.42 is: 9,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.56 : 14,705.78 = 6,624.42 : x
  2. Step 2: Convert to fraction form
    10,654.56/14,705.78 = 6,624.42/x
  3. Step 3: Cross multiply
    10,654.56x = 14,705.78 × 6,624.42
  4. Step 4: Simplify right side
    10,654.56x = 97,417,230.03
  5. Step 5: Solve for x
    x = 97,417,230.03/10,654.56
  6. Step 6: Final answer
    x = 9,143.24

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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.