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Finding the Fourth Proportional to 9,834.92, 14,761.64 and 6,550.32

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Solution

The fourth proportional to 9,834.92, 14,761.64 and 6,550.32 is: 9,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.92 : 14,761.64 = 6,550.32 : x
  2. Step 2: Convert to fraction form
    9,834.92/14,761.64 = 6,550.32/x
  3. Step 3: Cross multiply
    9,834.92x = 14,761.64 × 6,550.32
  4. Step 4: Simplify right side
    9,834.92x = 96,693,465.72
  5. Step 5: Solve for x
    x = 96,693,465.72/9,834.92
  6. Step 6: Final answer
    x = 9,831.65

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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.