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Finding the Fourth Proportional to 8,167.52, 12,237.60 and 7,864.16

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Solution

The fourth proportional to 8,167.52, 12,237.60 and 7,864.16 is: 11,783.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.52 : 12,237.60 = 7,864.16 : x
  2. Step 2: Convert to fraction form
    8,167.52/12,237.60 = 7,864.16/x
  3. Step 3: Cross multiply
    8,167.52x = 12,237.60 × 7,864.16
  4. Step 4: Simplify right side
    8,167.52x = 96,238,444.42
  5. Step 5: Solve for x
    x = 96,238,444.42/8,167.52
  6. Step 6: Final answer
    x = 11,783.07

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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.