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Finding the Fourth Proportional to 9,152.40, 13,722.12 and 5,642.40

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Solution

The fourth proportional to 9,152.40, 13,722.12 and 5,642.40 is: 8,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.40 : 13,722.12 = 5,642.40 : x
  2. Step 2: Convert to fraction form
    9,152.40/13,722.12 = 5,642.40/x
  3. Step 3: Cross multiply
    9,152.40x = 13,722.12 × 5,642.40
  4. Step 4: Simplify right side
    9,152.40x = 77,425,689.89
  5. Step 5: Solve for x
    x = 77,425,689.89/9,152.40
  6. Step 6: Final answer
    x = 8,459.61

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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.