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Finding the Fourth Proportional to 10,059.68, 13,882 and 5,583.60

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Solution

The fourth proportional to 10,059.68, 13,882 and 5,583.60 is: 7,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.68 : 13,882 = 5,583.60 : x
  2. Step 2: Convert to fraction form
    10,059.68/13,882 = 5,583.60/x
  3. Step 3: Cross multiply
    10,059.68x = 13,882 × 5,583.60
  4. Step 4: Simplify right side
    10,059.68x = 77,511,535.20
  5. Step 5: Solve for x
    x = 77,511,535.20/10,059.68
  6. Step 6: Final answer
    x = 7,705.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.