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Finding the Fourth Proportional to 10,464.66, 14,440.90 and 5,748.64

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Solution

The fourth proportional to 10,464.66, 14,440.90 and 5,748.64 is: 7,932.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.66 : 14,440.90 = 5,748.64 : x
  2. Step 2: Convert to fraction form
    10,464.66/14,440.90 = 5,748.64/x
  3. Step 3: Cross multiply
    10,464.66x = 14,440.90 × 5,748.64
  4. Step 4: Simplify right side
    10,464.66x = 83,015,535.38
  5. Step 5: Solve for x
    x = 83,015,535.38/10,464.66
  6. Step 6: Final answer
    x = 7,932.94

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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.