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Finding the Fourth Proportional to 7,671.87, 10,587.47 and 4,314.66

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Solution

The fourth proportional to 7,671.87, 10,587.47 and 4,314.66 is: 5,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.87 : 10,587.47 = 4,314.66 : x
  2. Step 2: Convert to fraction form
    7,671.87/10,587.47 = 4,314.66/x
  3. Step 3: Cross multiply
    7,671.87x = 10,587.47 × 4,314.66
  4. Step 4: Simplify right side
    7,671.87x = 45,681,311.74
  5. Step 5: Solve for x
    x = 45,681,311.74/7,671.87
  6. Step 6: Final answer
    x = 5,954.39

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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.