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Finding the Fourth Proportional to 10,498.90, 15,750.56 and 3,478.51

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Solution

The fourth proportional to 10,498.90, 15,750.56 and 3,478.51 is: 5,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.90 : 15,750.56 = 3,478.51 : x
  2. Step 2: Convert to fraction form
    10,498.90/15,750.56 = 3,478.51/x
  3. Step 3: Cross multiply
    10,498.90x = 15,750.56 × 3,478.51
  4. Step 4: Simplify right side
    10,498.90x = 54,788,480.47
  5. Step 5: Solve for x
    x = 54,788,480.47/10,498.90
  6. Step 6: Final answer
    x = 5,218.50

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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.