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Finding the Fourth Proportional to 7,658.32, 11,492.04 and 7,172.40

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Solution

The fourth proportional to 7,658.32, 11,492.04 and 7,172.40 is: 10,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.32 : 11,492.04 = 7,172.40 : x
  2. Step 2: Convert to fraction form
    7,658.32/11,492.04 = 7,172.40/x
  3. Step 3: Cross multiply
    7,658.32x = 11,492.04 × 7,172.40
  4. Step 4: Simplify right side
    7,658.32x = 82,425,507.70
  5. Step 5: Solve for x
    x = 82,425,507.70/7,658.32
  6. Step 6: Final answer
    x = 10,762.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.