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Finding the Fourth Proportional to 7,142.66, 9,855.70 and 4,488.19

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Solution

The fourth proportional to 7,142.66, 9,855.70 and 4,488.19 is: 6,192.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.66 : 9,855.70 = 4,488.19 : x
  2. Step 2: Convert to fraction form
    7,142.66/9,855.70 = 4,488.19/x
  3. Step 3: Cross multiply
    7,142.66x = 9,855.70 × 4,488.19
  4. Step 4: Simplify right side
    7,142.66x = 44,234,218.32
  5. Step 5: Solve for x
    x = 44,234,218.32/7,142.66
  6. Step 6: Final answer
    x = 6,192.96

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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.