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Finding the Fourth Proportional to 20,562.58, 30,802.76 and 9,454.06

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Solution

The fourth proportional to 20,562.58, 30,802.76 and 9,454.06 is: 14,162.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,562.58 : 30,802.76 = 9,454.06 : x
  2. Step 2: Convert to fraction form
    20,562.58/30,802.76 = 9,454.06/x
  3. Step 3: Cross multiply
    20,562.58x = 30,802.76 × 9,454.06
  4. Step 4: Simplify right side
    20,562.58x = 291,211,141.21
  5. Step 5: Solve for x
    x = 291,211,141.21/20,562.58
  6. Step 6: Final answer
    x = 14,162.19

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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.