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Finding the Fourth Proportional to 8,507.76, 11,740.86 and 4,781.76

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Solution

The fourth proportional to 8,507.76, 11,740.86 and 4,781.76 is: 6,598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.76 : 11,740.86 = 4,781.76 : x
  2. Step 2: Convert to fraction form
    8,507.76/11,740.86 = 4,781.76/x
  3. Step 3: Cross multiply
    8,507.76x = 11,740.86 × 4,781.76
  4. Step 4: Simplify right side
    8,507.76x = 56,141,974.71
  5. Step 5: Solve for x
    x = 56,141,974.71/8,507.76
  6. Step 6: Final answer
    x = 6,598.91

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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.