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Finding the Fourth Proportional to 10,024.96, 15,038.88 and 3,100

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Solution

The fourth proportional to 10,024.96, 15,038.88 and 3,100 is: 4,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.96 : 15,038.88 = 3,100 : x
  2. Step 2: Convert to fraction form
    10,024.96/15,038.88 = 3,100/x
  3. Step 3: Cross multiply
    10,024.96x = 15,038.88 × 3,100
  4. Step 4: Simplify right side
    10,024.96x = 46,620,528
  5. Step 5: Solve for x
    x = 46,620,528/10,024.96
  6. Step 6: Final answer
    x = 4,650.45

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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.