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Finding the Fourth Proportional to 9,758.22, 14,652.45 and 8,306.70

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Solution

The fourth proportional to 9,758.22, 14,652.45 and 8,306.70 is: 12,472.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.22 : 14,652.45 = 8,306.70 : x
  2. Step 2: Convert to fraction form
    9,758.22/14,652.45 = 8,306.70/x
  3. Step 3: Cross multiply
    9,758.22x = 14,652.45 × 8,306.70
  4. Step 4: Simplify right side
    9,758.22x = 121,713,506.42
  5. Step 5: Solve for x
    x = 121,713,506.42/9,758.22
  6. Step 6: Final answer
    x = 12,472.92

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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.