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Finding the Fourth Proportional to 8,038.97, 12,043.87 and 7,864.01

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Solution

The fourth proportional to 8,038.97, 12,043.87 and 7,864.01 is: 11,781.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.97 : 12,043.87 = 7,864.01 : x
  2. Step 2: Convert to fraction form
    8,038.97/12,043.87 = 7,864.01/x
  3. Step 3: Cross multiply
    8,038.97x = 12,043.87 × 7,864.01
  4. Step 4: Simplify right side
    8,038.97x = 94,713,034.24
  5. Step 5: Solve for x
    x = 94,713,034.24/8,038.97
  6. Step 6: Final answer
    x = 11,781.74

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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.