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Finding the Fourth Proportional to 6,510.42, 9,723.47 and 5,635.62

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Solution

The fourth proportional to 6,510.42, 9,723.47 and 5,635.62 is: 8,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.42 : 9,723.47 = 5,635.62 : x
  2. Step 2: Convert to fraction form
    6,510.42/9,723.47 = 5,635.62/x
  3. Step 3: Cross multiply
    6,510.42x = 9,723.47 × 5,635.62
  4. Step 4: Simplify right side
    6,510.42x = 54,797,753.82
  5. Step 5: Solve for x
    x = 54,797,753.82/6,510.42
  6. Step 6: Final answer
    x = 8,416.93

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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.