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Finding the Fourth Proportional to 10,424.48, 14,385.58 and 5,948.48

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Solution

The fourth proportional to 10,424.48, 14,385.58 and 5,948.48 is: 8,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424.48 : 14,385.58 = 5,948.48 : x
  2. Step 2: Convert to fraction form
    10,424.48/14,385.58 = 5,948.48/x
  3. Step 3: Cross multiply
    10,424.48x = 14,385.58 × 5,948.48
  4. Step 4: Simplify right side
    10,424.48x = 85,572,334.92
  5. Step 5: Solve for x
    x = 85,572,334.92/10,424.48
  6. Step 6: Final answer
    x = 8,208.79

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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.