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Finding the Fourth Proportional to 7,884.12, 10,874.88 and 4,737

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Solution

The fourth proportional to 7,884.12, 10,874.88 and 4,737 is: 6,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.12 : 10,874.88 = 4,737 : x
  2. Step 2: Convert to fraction form
    7,884.12/10,874.88 = 4,737/x
  3. Step 3: Cross multiply
    7,884.12x = 10,874.88 × 4,737
  4. Step 4: Simplify right side
    7,884.12x = 51,514,306.56
  5. Step 5: Solve for x
    x = 51,514,306.56/7,884.12
  6. Step 6: Final answer
    x = 6,533.93

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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.