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Finding the Fourth Proportional to 7,068.24, 10,602.36 and 2,448

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Solution

The fourth proportional to 7,068.24, 10,602.36 and 2,448 is: 3,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,068.24 : 10,602.36 = 2,448 : x
  2. Step 2: Convert to fraction form
    7,068.24/10,602.36 = 2,448/x
  3. Step 3: Cross multiply
    7,068.24x = 10,602.36 × 2,448
  4. Step 4: Simplify right side
    7,068.24x = 25,954,577.28
  5. Step 5: Solve for x
    x = 25,954,577.28/7,068.24
  6. Step 6: Final answer
    x = 3,672.00

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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.