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Finding the Fourth Proportional to 8,032.59, 12,034.31 and 7,857.63

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Solution

The fourth proportional to 8,032.59, 12,034.31 and 7,857.63 is: 11,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,032.59 : 12,034.31 = 7,857.63 : x
  2. Step 2: Convert to fraction form
    8,032.59/12,034.31 = 7,857.63/x
  3. Step 3: Cross multiply
    8,032.59x = 12,034.31 × 7,857.63
  4. Step 4: Simplify right side
    8,032.59x = 94,561,116.00
  5. Step 5: Solve for x
    x = 94,561,116.00/8,032.59
  6. Step 6: Final answer
    x = 11,772.18

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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.