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Finding the Fourth Proportional to 14,705.68, 22,063.14 and 5,343.20

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Solution

The fourth proportional to 14,705.68, 22,063.14 and 5,343.20 is: 8,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.68 : 22,063.14 = 5,343.20 : x
  2. Step 2: Convert to fraction form
    14,705.68/22,063.14 = 5,343.20/x
  3. Step 3: Cross multiply
    14,705.68x = 22,063.14 × 5,343.20
  4. Step 4: Simplify right side
    14,705.68x = 117,887,824.81
  5. Step 5: Solve for x
    x = 117,887,824.81/14,705.68
  6. Step 6: Final answer
    x = 8,016.48

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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.