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Finding the Fourth Proportional to 10,465.62, 14,442.48 and 5,749.80

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Solution

The fourth proportional to 10,465.62, 14,442.48 and 5,749.80 is: 7,934.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.62 : 14,442.48 = 5,749.80 : x
  2. Step 2: Convert to fraction form
    10,465.62/14,442.48 = 5,749.80/x
  3. Step 3: Cross multiply
    10,465.62x = 14,442.48 × 5,749.80
  4. Step 4: Simplify right side
    10,465.62x = 83,041,371.50
  5. Step 5: Solve for x
    x = 83,041,371.50/10,465.62
  6. Step 6: Final answer
    x = 7,934.68

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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.