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Finding the Fourth Proportional to 4,870.92, 7,306.38 and 4,521

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Solution

The fourth proportional to 4,870.92, 7,306.38 and 4,521 is: 6,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.92 : 7,306.38 = 4,521 : x
  2. Step 2: Convert to fraction form
    4,870.92/7,306.38 = 4,521/x
  3. Step 3: Cross multiply
    4,870.92x = 7,306.38 × 4,521
  4. Step 4: Simplify right side
    4,870.92x = 33,032,143.98
  5. Step 5: Solve for x
    x = 33,032,143.98/4,870.92
  6. Step 6: Final answer
    x = 6,781.50

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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.