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Finding the Fourth Proportional to 7,001.57, 9,658.95 and 4,482.47

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Solution

The fourth proportional to 7,001.57, 9,658.95 and 4,482.47 is: 6,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.57 : 9,658.95 = 4,482.47 : x
  2. Step 2: Convert to fraction form
    7,001.57/9,658.95 = 4,482.47/x
  3. Step 3: Cross multiply
    7,001.57x = 9,658.95 × 4,482.47
  4. Step 4: Simplify right side
    7,001.57x = 43,295,960.94
  5. Step 5: Solve for x
    x = 43,295,960.94/7,001.57
  6. Step 6: Final answer
    x = 6,183.75

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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.