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Finding the Fourth Proportional to 10,465.66, 14,442.28 and 5,749.64

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Solution

The fourth proportional to 10,465.66, 14,442.28 and 5,749.64 is: 7,934.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.66 : 14,442.28 = 5,749.64 : x
  2. Step 2: Convert to fraction form
    10,465.66/14,442.28 = 5,749.64/x
  3. Step 3: Cross multiply
    10,465.66x = 14,442.28 × 5,749.64
  4. Step 4: Simplify right side
    10,465.66x = 83,037,910.78
  5. Step 5: Solve for x
    x = 83,037,910.78/10,465.66
  6. Step 6: Final answer
    x = 7,934.32

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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.