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Finding the Fourth Proportional to 4,454.61, 6,674.61 and 1,531.32

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Solution

The fourth proportional to 4,454.61, 6,674.61 and 1,531.32 is: 2,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.61 : 6,674.61 = 1,531.32 : x
  2. Step 2: Convert to fraction form
    4,454.61/6,674.61 = 1,531.32/x
  3. Step 3: Cross multiply
    4,454.61x = 6,674.61 × 1,531.32
  4. Step 4: Simplify right side
    4,454.61x = 10,220,963.79
  5. Step 5: Solve for x
    x = 10,220,963.79/4,454.61
  6. Step 6: Final answer
    x = 2,294.47

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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.