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Finding the Fourth Proportional to 6,559.76, 9,049.80 and 4,203.28

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Solution

The fourth proportional to 6,559.76, 9,049.80 and 4,203.28 is: 5,798.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.76 : 9,049.80 = 4,203.28 : x
  2. Step 2: Convert to fraction form
    6,559.76/9,049.80 = 4,203.28/x
  3. Step 3: Cross multiply
    6,559.76x = 9,049.80 × 4,203.28
  4. Step 4: Simplify right side
    6,559.76x = 38,038,843.34
  5. Step 5: Solve for x
    x = 38,038,843.34/6,559.76
  6. Step 6: Final answer
    x = 5,798.82

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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.