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Finding the Fourth Proportional to 8,356.74, 11,526.17 and 6,001.30

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Solution

The fourth proportional to 8,356.74, 11,526.17 and 6,001.30 is: 8,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.74 : 11,526.17 = 6,001.30 : x
  2. Step 2: Convert to fraction form
    8,356.74/11,526.17 = 6,001.30/x
  3. Step 3: Cross multiply
    8,356.74x = 11,526.17 × 6,001.30
  4. Step 4: Simplify right side
    8,356.74x = 69,172,004.02
  5. Step 5: Solve for x
    x = 69,172,004.02/8,356.74
  6. Step 6: Final answer
    x = 8,277.39

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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.