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Finding the Fourth Proportional to 10,023.84, 15,035.76 and 4,548

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Solution

The fourth proportional to 10,023.84, 15,035.76 and 4,548 is: 6,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.84 : 15,035.76 = 4,548 : x
  2. Step 2: Convert to fraction form
    10,023.84/15,035.76 = 4,548/x
  3. Step 3: Cross multiply
    10,023.84x = 15,035.76 × 4,548
  4. Step 4: Simplify right side
    10,023.84x = 68,382,636.48
  5. Step 5: Solve for x
    x = 68,382,636.48/10,023.84
  6. Step 6: Final answer
    x = 6,822

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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.