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Finding the Fourth Proportional to 4,822.72, 7,182.22 and 4,658.70

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Solution

The fourth proportional to 4,822.72, 7,182.22 and 4,658.70 is: 6,937.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.72 : 7,182.22 = 4,658.70 : x
  2. Step 2: Convert to fraction form
    4,822.72/7,182.22 = 4,658.70/x
  3. Step 3: Cross multiply
    4,822.72x = 7,182.22 × 4,658.70
  4. Step 4: Simplify right side
    4,822.72x = 33,459,808.31
  5. Step 5: Solve for x
    x = 33,459,808.31/4,822.72
  6. Step 6: Final answer
    x = 6,937.95

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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.