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Finding the Fourth Proportional to 10,473.36, 14,454 and 5,757.84

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Solution

The fourth proportional to 10,473.36, 14,454 and 5,757.84 is: 7,946.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473.36 : 14,454 = 5,757.84 : x
  2. Step 2: Convert to fraction form
    10,473.36/14,454 = 5,757.84/x
  3. Step 3: Cross multiply
    10,473.36x = 14,454 × 5,757.84
  4. Step 4: Simplify right side
    10,473.36x = 83,223,819.36
  5. Step 5: Solve for x
    x = 83,223,819.36/10,473.36
  6. Step 6: Final answer
    x = 7,946.24

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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.