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Finding the Fourth Proportional to 10,046, 15,074.24 and 7,295.40

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Solution

The fourth proportional to 10,046, 15,074.24 and 7,295.40 is: 10,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,046 : 15,074.24 = 7,295.40 : x
  2. Step 2: Convert to fraction form
    10,046/15,074.24 = 7,295.40/x
  3. Step 3: Cross multiply
    10,046x = 15,074.24 × 7,295.40
  4. Step 4: Simplify right side
    10,046x = 109,972,610.50
  5. Step 5: Solve for x
    x = 109,972,610.50/10,046
  6. Step 6: Final answer
    x = 10,946.91

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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.