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Finding the Fourth Proportional to 4,663.61, 6,432.95 and 2,984.42

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Solution

The fourth proportional to 4,663.61, 6,432.95 and 2,984.42 is: 4,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.61 : 6,432.95 = 2,984.42 : x
  2. Step 2: Convert to fraction form
    4,663.61/6,432.95 = 2,984.42/x
  3. Step 3: Cross multiply
    4,663.61x = 6,432.95 × 2,984.42
  4. Step 4: Simplify right side
    4,663.61x = 19,198,648.18
  5. Step 5: Solve for x
    x = 19,198,648.18/4,663.61
  6. Step 6: Final answer
    x = 4,116.69

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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.