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Finding the Fourth Proportional to 7,152.39, 9,847.80 and 6,496.29

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Solution

The fourth proportional to 7,152.39, 9,847.80 and 6,496.29 is: 8,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.39 : 9,847.80 = 6,496.29 : x
  2. Step 2: Convert to fraction form
    7,152.39/9,847.80 = 6,496.29/x
  3. Step 3: Cross multiply
    7,152.39x = 9,847.80 × 6,496.29
  4. Step 4: Simplify right side
    7,152.39x = 63,974,164.66
  5. Step 5: Solve for x
    x = 63,974,164.66/7,152.39
  6. Step 6: Final answer
    x = 8,944.45

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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.