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Finding the Fourth Proportional to 10,442, 14,409.48 and 6,252.56

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Solution

The fourth proportional to 10,442, 14,409.48 and 6,252.56 is: 8,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442 : 14,409.48 = 6,252.56 : x
  2. Step 2: Convert to fraction form
    10,442/14,409.48 = 6,252.56/x
  3. Step 3: Cross multiply
    10,442x = 14,409.48 × 6,252.56
  4. Step 4: Simplify right side
    10,442x = 90,096,138.27
  5. Step 5: Solve for x
    x = 90,096,138.27/10,442
  6. Step 6: Final answer
    x = 8,628.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.