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Finding the Fourth Proportional to 14,842.56, 22,263.78 and 6,077.46

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Solution

The fourth proportional to 14,842.56, 22,263.78 and 6,077.46 is: 9,116.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.56 : 22,263.78 = 6,077.46 : x
  2. Step 2: Convert to fraction form
    14,842.56/22,263.78 = 6,077.46/x
  3. Step 3: Cross multiply
    14,842.56x = 22,263.78 × 6,077.46
  4. Step 4: Simplify right side
    14,842.56x = 135,307,232.40
  5. Step 5: Solve for x
    x = 135,307,232.40/14,842.56
  6. Step 6: Final answer
    x = 9,116.17

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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.