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Finding the Fourth Proportional to 10,062.82, 13,894.98 and 6,532.06

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Solution

The fourth proportional to 10,062.82, 13,894.98 and 6,532.06 is: 9,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,062.82 : 13,894.98 = 6,532.06 : x
  2. Step 2: Convert to fraction form
    10,062.82/13,894.98 = 6,532.06/x
  3. Step 3: Cross multiply
    10,062.82x = 13,894.98 × 6,532.06
  4. Step 4: Simplify right side
    10,062.82x = 90,762,843.06
  5. Step 5: Solve for x
    x = 90,762,843.06/10,062.82
  6. Step 6: Final answer
    x = 9,019.62

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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.