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Finding the Fourth Proportional to 10,492.48, 15,738.72 and 7,195.57

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Solution

The fourth proportional to 10,492.48, 15,738.72 and 7,195.57 is: 10,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.48 : 15,738.72 = 7,195.57 : x
  2. Step 2: Convert to fraction form
    10,492.48/15,738.72 = 7,195.57/x
  3. Step 3: Cross multiply
    10,492.48x = 15,738.72 × 7,195.57
  4. Step 4: Simplify right side
    10,492.48x = 113,249,061.47
  5. Step 5: Solve for x
    x = 113,249,061.47/10,492.48
  6. Step 6: Final answer
    x = 10,793.36

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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.