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Finding the Fourth Proportional to 6,561.76, 9,052.56 and 4,205.28

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Solution

The fourth proportional to 6,561.76, 9,052.56 and 4,205.28 is: 5,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.76 : 9,052.56 = 4,205.28 : x
  2. Step 2: Convert to fraction form
    6,561.76/9,052.56 = 4,205.28/x
  3. Step 3: Cross multiply
    6,561.76x = 9,052.56 × 4,205.28
  4. Step 4: Simplify right side
    6,561.76x = 38,068,549.52
  5. Step 5: Solve for x
    x = 38,068,549.52/6,561.76
  6. Step 6: Final answer
    x = 5,801.58

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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.