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Finding the Fourth Proportional to 10,151.27, 15,225.04 and 4,603.28

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Solution

The fourth proportional to 10,151.27, 15,225.04 and 4,603.28 is: 6,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.27 : 15,225.04 = 4,603.28 : x
  2. Step 2: Convert to fraction form
    10,151.27/15,225.04 = 4,603.28/x
  3. Step 3: Cross multiply
    10,151.27x = 15,225.04 × 4,603.28
  4. Step 4: Simplify right side
    10,151.27x = 70,085,034.50
  5. Step 5: Solve for x
    x = 70,085,034.50/10,151.27
  6. Step 6: Final answer
    x = 6,904.07

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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.