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Finding the Fourth Proportional to 10,648.16, 15,974.58 and 3,253.19

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Solution

The fourth proportional to 10,648.16, 15,974.58 and 3,253.19 is: 4,880.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.16 : 15,974.58 = 3,253.19 : x
  2. Step 2: Convert to fraction form
    10,648.16/15,974.58 = 3,253.19/x
  3. Step 3: Cross multiply
    10,648.16x = 15,974.58 × 3,253.19
  4. Step 4: Simplify right side
    10,648.16x = 51,968,368.28
  5. Step 5: Solve for x
    x = 51,968,368.28/10,648.16
  6. Step 6: Final answer
    x = 4,880.50

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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.