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Finding the Fourth Proportional to 4,691.61, 6,987.51 and 4,562.46

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Solution

The fourth proportional to 4,691.61, 6,987.51 and 4,562.46 is: 6,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.61 : 6,987.51 = 4,562.46 : x
  2. Step 2: Convert to fraction form
    4,691.61/6,987.51 = 4,562.46/x
  3. Step 3: Cross multiply
    4,691.61x = 6,987.51 × 4,562.46
  4. Step 4: Simplify right side
    4,691.61x = 31,880,234.87
  5. Step 5: Solve for x
    x = 31,880,234.87/4,691.61
  6. Step 6: Final answer
    x = 6,795.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.