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Finding the Fourth Proportional to 7,087.52, 9,765.84 and 4,849.76

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Solution

The fourth proportional to 7,087.52, 9,765.84 and 4,849.76 is: 6,682.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,087.52 : 9,765.84 = 4,849.76 : x
  2. Step 2: Convert to fraction form
    7,087.52/9,765.84 = 4,849.76/x
  3. Step 3: Cross multiply
    7,087.52x = 9,765.84 × 4,849.76
  4. Step 4: Simplify right side
    7,087.52x = 47,361,980.20
  5. Step 5: Solve for x
    x = 47,361,980.20/7,087.52
  6. Step 6: Final answer
    x = 6,682.45

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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.