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Finding the Fourth Proportional to 7,157.39, 9,877.29 and 3,970.76

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Solution

The fourth proportional to 7,157.39, 9,877.29 and 3,970.76 is: 5,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.39 : 9,877.29 = 3,970.76 : x
  2. Step 2: Convert to fraction form
    7,157.39/9,877.29 = 3,970.76/x
  3. Step 3: Cross multiply
    7,157.39x = 9,877.29 × 3,970.76
  4. Step 4: Simplify right side
    7,157.39x = 39,220,348.04
  5. Step 5: Solve for x
    x = 39,220,348.04/7,157.39
  6. Step 6: Final answer
    x = 5,479.70

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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.