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Finding the Fourth Proportional to 14,471.70, 21,695.40 and 7,546.20

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Solution

The fourth proportional to 14,471.70, 21,695.40 and 7,546.20 is: 11,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.70 : 21,695.40 = 7,546.20 : x
  2. Step 2: Convert to fraction form
    14,471.70/21,695.40 = 7,546.20/x
  3. Step 3: Cross multiply
    14,471.70x = 21,695.40 × 7,546.20
  4. Step 4: Simplify right side
    14,471.70x = 163,717,827.48
  5. Step 5: Solve for x
    x = 163,717,827.48/14,471.70
  6. Step 6: Final answer
    x = 11,312.96

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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.