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Finding the Fourth Proportional to 7,152.84, 9,869.85 and 4,008.42

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Solution

The fourth proportional to 7,152.84, 9,869.85 and 4,008.42 is: 5,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.84 : 9,869.85 = 4,008.42 : x
  2. Step 2: Convert to fraction form
    7,152.84/9,869.85 = 4,008.42/x
  3. Step 3: Cross multiply
    7,152.84x = 9,869.85 × 4,008.42
  4. Step 4: Simplify right side
    7,152.84x = 39,562,504.14
  5. Step 5: Solve for x
    x = 39,562,504.14/7,152.84
  6. Step 6: Final answer
    x = 5,531.02

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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.