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Finding the Fourth Proportional to 6,503.71, 8,974.45 and 3,671.24

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Solution

The fourth proportional to 6,503.71, 8,974.45 and 3,671.24 is: 5,065.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.71 : 8,974.45 = 3,671.24 : x
  2. Step 2: Convert to fraction form
    6,503.71/8,974.45 = 3,671.24/x
  3. Step 3: Cross multiply
    6,503.71x = 8,974.45 × 3,671.24
  4. Step 4: Simplify right side
    6,503.71x = 32,947,341.46
  5. Step 5: Solve for x
    x = 32,947,341.46/6,503.71
  6. Step 6: Final answer
    x = 5,065.93

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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.