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Finding the Fourth Proportional to 10,479.84, 14,462.26 and 5,764.20

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Solution

The fourth proportional to 10,479.84, 14,462.26 and 5,764.20 is: 7,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,479.84 : 14,462.26 = 5,764.20 : x
  2. Step 2: Convert to fraction form
    10,479.84/14,462.26 = 5,764.20/x
  3. Step 3: Cross multiply
    10,479.84x = 14,462.26 × 5,764.20
  4. Step 4: Simplify right side
    10,479.84x = 83,363,359.09
  5. Step 5: Solve for x
    x = 83,363,359.09/10,479.84
  6. Step 6: Final answer
    x = 7,954.64

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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.