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Finding the Fourth Proportional to 9,523.56, 14,204.80 and 8,974.76

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Solution

The fourth proportional to 9,523.56, 14,204.80 and 8,974.76 is: 13,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.56 : 14,204.80 = 8,974.76 : x
  2. Step 2: Convert to fraction form
    9,523.56/14,204.80 = 8,974.76/x
  3. Step 3: Cross multiply
    9,523.56x = 14,204.80 × 8,974.76
  4. Step 4: Simplify right side
    9,523.56x = 127,484,670.85
  5. Step 5: Solve for x
    x = 127,484,670.85/9,523.56
  6. Step 6: Final answer
    x = 13,386.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.