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Finding the Fourth Proportional to 14,758.40, 22,130.72 and 7,831.04

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Solution

The fourth proportional to 14,758.40, 22,130.72 and 7,831.04 is: 11,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,758.40 : 22,130.72 = 7,831.04 : x
  2. Step 2: Convert to fraction form
    14,758.40/22,130.72 = 7,831.04/x
  3. Step 3: Cross multiply
    14,758.40x = 22,130.72 × 7,831.04
  4. Step 4: Simplify right side
    14,758.40x = 173,306,553.55
  5. Step 5: Solve for x
    x = 173,306,553.55/14,758.40
  6. Step 6: Final answer
    x = 11,742.91

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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.