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Finding the Fourth Proportional to 6,530.76, 9,744.69 and 6,133.92

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Solution

The fourth proportional to 6,530.76, 9,744.69 and 6,133.92 is: 9,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.76 : 9,744.69 = 6,133.92 : x
  2. Step 2: Convert to fraction form
    6,530.76/9,744.69 = 6,133.92/x
  3. Step 3: Cross multiply
    6,530.76x = 9,744.69 × 6,133.92
  4. Step 4: Simplify right side
    6,530.76x = 59,773,148.88
  5. Step 5: Solve for x
    x = 59,773,148.88/6,530.76
  6. Step 6: Final answer
    x = 9,152.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.