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Finding the Fourth Proportional to 7,656.96, 11,459.52 and 5,423.52

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Solution

The fourth proportional to 7,656.96, 11,459.52 and 5,423.52 is: 8,116.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.96 : 11,459.52 = 5,423.52 : x
  2. Step 2: Convert to fraction form
    7,656.96/11,459.52 = 5,423.52/x
  3. Step 3: Cross multiply
    7,656.96x = 11,459.52 × 5,423.52
  4. Step 4: Simplify right side
    7,656.96x = 62,150,935.91
  5. Step 5: Solve for x
    x = 62,150,935.91/7,656.96
  6. Step 6: Final answer
    x = 8,116.92

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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.