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Finding the Fourth Proportional to 6,632.76, 9,934.74 and 6,448.44

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Solution

The fourth proportional to 6,632.76, 9,934.74 and 6,448.44 is: 9,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,632.76 : 9,934.74 = 6,448.44 : x
  2. Step 2: Convert to fraction form
    6,632.76/9,934.74 = 6,448.44/x
  3. Step 3: Cross multiply
    6,632.76x = 9,934.74 × 6,448.44
  4. Step 4: Simplify right side
    6,632.76x = 64,063,574.81
  5. Step 5: Solve for x
    x = 64,063,574.81/6,632.76
  6. Step 6: Final answer
    x = 9,658.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.