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Finding the Fourth Proportional to 7,152.04, 9,869.88 and 4,008.24

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Solution

The fourth proportional to 7,152.04, 9,869.88 and 4,008.24 is: 5,531.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.04 : 9,869.88 = 4,008.24 : x
  2. Step 2: Convert to fraction form
    7,152.04/9,869.88 = 4,008.24/x
  3. Step 3: Cross multiply
    7,152.04x = 9,869.88 × 4,008.24
  4. Step 4: Simplify right side
    7,152.04x = 39,560,847.81
  5. Step 5: Solve for x
    x = 39,560,847.81/7,152.04
  6. Step 6: Final answer
    x = 5,531.41

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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.