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Finding the Fourth Proportional to 10,425.48, 14,386.96 and 5,949.48

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Solution

The fourth proportional to 10,425.48, 14,386.96 and 5,949.48 is: 8,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.48 : 14,386.96 = 5,949.48 : x
  2. Step 2: Convert to fraction form
    10,425.48/14,386.96 = 5,949.48/x
  3. Step 3: Cross multiply
    10,425.48x = 14,386.96 × 5,949.48
  4. Step 4: Simplify right side
    10,425.48x = 85,594,930.78
  5. Step 5: Solve for x
    x = 85,594,930.78/10,425.48
  6. Step 6: Final answer
    x = 8,210.17

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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.