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Finding the Fourth Proportional to 12,064.71, 16,657.07 and 9,831.92

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Solution

The fourth proportional to 12,064.71, 16,657.07 and 9,831.92 is: 13,574.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.71 : 16,657.07 = 9,831.92 : x
  2. Step 2: Convert to fraction form
    12,064.71/16,657.07 = 9,831.92/x
  3. Step 3: Cross multiply
    12,064.71x = 16,657.07 × 9,831.92
  4. Step 4: Simplify right side
    12,064.71x = 163,770,979.67
  5. Step 5: Solve for x
    x = 163,770,979.67/12,064.71
  6. Step 6: Final answer
    x = 13,574.38

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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.