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Finding the Fourth Proportional to 4,671.47, 7,013.32 and 4,284.63

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Solution

The fourth proportional to 4,671.47, 7,013.32 and 4,284.63 is: 6,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.47 : 7,013.32 = 4,284.63 : x
  2. Step 2: Convert to fraction form
    4,671.47/7,013.32 = 4,284.63/x
  3. Step 3: Cross multiply
    4,671.47x = 7,013.32 × 4,284.63
  4. Step 4: Simplify right side
    4,671.47x = 30,049,470.56
  5. Step 5: Solve for x
    x = 30,049,470.56/4,671.47
  6. Step 6: Final answer
    x = 6,432.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.