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Finding the Fourth Proportional to 4,658.90, 6,988.35 and 4,432.10

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Solution

The fourth proportional to 4,658.90, 6,988.35 and 4,432.10 is: 6,648.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.90 : 6,988.35 = 4,432.10 : x
  2. Step 2: Convert to fraction form
    4,658.90/6,988.35 = 4,432.10/x
  3. Step 3: Cross multiply
    4,658.90x = 6,988.35 × 4,432.10
  4. Step 4: Simplify right side
    4,658.90x = 30,973,066.04
  5. Step 5: Solve for x
    x = 30,973,066.04/4,658.90
  6. Step 6: Final answer
    x = 6,648.15

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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.