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Finding the Fourth Proportional to 9,654.96, 14,468.40 and 7,178.16

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Solution

The fourth proportional to 9,654.96, 14,468.40 and 7,178.16 is: 10,756.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.96 : 14,468.40 = 7,178.16 : x
  2. Step 2: Convert to fraction form
    9,654.96/14,468.40 = 7,178.16/x
  3. Step 3: Cross multiply
    9,654.96x = 14,468.40 × 7,178.16
  4. Step 4: Simplify right side
    9,654.96x = 103,856,490.14
  5. Step 5: Solve for x
    x = 103,856,490.14/9,654.96
  6. Step 6: Final answer
    x = 10,756.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.