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Finding the Fourth Proportional to 7,953.28, 10,962.76 and 5,400.24

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Solution

The fourth proportional to 7,953.28, 10,962.76 and 5,400.24 is: 7,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.28 : 10,962.76 = 5,400.24 : x
  2. Step 2: Convert to fraction form
    7,953.28/10,962.76 = 5,400.24/x
  3. Step 3: Cross multiply
    7,953.28x = 10,962.76 × 5,400.24
  4. Step 4: Simplify right side
    7,953.28x = 59,201,535.06
  5. Step 5: Solve for x
    x = 59,201,535.06/7,953.28
  6. Step 6: Final answer
    x = 7,443.66

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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.