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Finding the Fourth Proportional to 9,452.70, 13,056.19 and 6,931.17

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Solution

The fourth proportional to 9,452.70, 13,056.19 and 6,931.17 is: 9,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.70 : 13,056.19 = 6,931.17 : x
  2. Step 2: Convert to fraction form
    9,452.70/13,056.19 = 6,931.17/x
  3. Step 3: Cross multiply
    9,452.70x = 13,056.19 × 6,931.17
  4. Step 4: Simplify right side
    9,452.70x = 90,494,655.11
  5. Step 5: Solve for x
    x = 90,494,655.11/9,452.70
  6. Step 6: Final answer
    x = 9,573.42

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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.