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Finding the Fourth Proportional to 10,597.74, 15,874.92 and 8,506.42

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Solution

The fourth proportional to 10,597.74, 15,874.92 and 8,506.42 is: 12,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.74 : 15,874.92 = 8,506.42 : x
  2. Step 2: Convert to fraction form
    10,597.74/15,874.92 = 8,506.42/x
  3. Step 3: Cross multiply
    10,597.74x = 15,874.92 × 8,506.42
  4. Step 4: Simplify right side
    10,597.74x = 135,038,697.30
  5. Step 5: Solve for x
    x = 135,038,697.30/10,597.74
  6. Step 6: Final answer
    x = 12,742.22

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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.