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Finding the Fourth Proportional to 11,492.62, 15,854.39 and 9,831.87

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Solution

The fourth proportional to 11,492.62, 15,854.39 and 9,831.87 is: 13,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.62 : 15,854.39 = 9,831.87 : x
  2. Step 2: Convert to fraction form
    11,492.62/15,854.39 = 9,831.87/x
  3. Step 3: Cross multiply
    11,492.62x = 15,854.39 × 9,831.87
  4. Step 4: Simplify right side
    11,492.62x = 155,878,222.14
  5. Step 5: Solve for x
    x = 155,878,222.14/11,492.62
  6. Step 6: Final answer
    x = 13,563.33

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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.