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Finding the Fourth Proportional to 10,036.22, 13,865.73 and 6,909.08

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Solution

The fourth proportional to 10,036.22, 13,865.73 and 6,909.08 is: 9,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.22 : 13,865.73 = 6,909.08 : x
  2. Step 2: Convert to fraction form
    10,036.22/13,865.73 = 6,909.08/x
  3. Step 3: Cross multiply
    10,036.22x = 13,865.73 × 6,909.08
  4. Step 4: Simplify right side
    10,036.22x = 95,799,437.83
  5. Step 5: Solve for x
    x = 95,799,437.83/10,036.22
  6. Step 6: Final answer
    x = 9,545.37

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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.