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Finding the Fourth Proportional to 5,002.65, 6,905.13 and 4,007.58

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Solution

The fourth proportional to 5,002.65, 6,905.13 and 4,007.58 is: 5,531.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.65 : 6,905.13 = 4,007.58 : x
  2. Step 2: Convert to fraction form
    5,002.65/6,905.13 = 4,007.58/x
  3. Step 3: Cross multiply
    5,002.65x = 6,905.13 × 4,007.58
  4. Step 4: Simplify right side
    5,002.65x = 27,672,860.89
  5. Step 5: Solve for x
    x = 27,672,860.89/5,002.65
  6. Step 6: Final answer
    x = 5,531.64

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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.