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Finding the Fourth Proportional to 8,706.46, 12,038.54 and 8,565.78

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Solution

The fourth proportional to 8,706.46, 12,038.54 and 8,565.78 is: 11,844.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.46 : 12,038.54 = 8,565.78 : x
  2. Step 2: Convert to fraction form
    8,706.46/12,038.54 = 8,565.78/x
  3. Step 3: Cross multiply
    8,706.46x = 12,038.54 × 8,565.78
  4. Step 4: Simplify right side
    8,706.46x = 103,119,485.16
  5. Step 5: Solve for x
    x = 103,119,485.16/8,706.46
  6. Step 6: Final answer
    x = 11,844.02

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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.