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Finding the Fourth Proportional to 7,154.28, 9,877.50 and 5,831.14

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Solution

The fourth proportional to 7,154.28, 9,877.50 and 5,831.14 is: 8,050.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.28 : 9,877.50 = 5,831.14 : x
  2. Step 2: Convert to fraction form
    7,154.28/9,877.50 = 5,831.14/x
  3. Step 3: Cross multiply
    7,154.28x = 9,877.50 × 5,831.14
  4. Step 4: Simplify right side
    7,154.28x = 57,597,085.35
  5. Step 5: Solve for x
    x = 57,597,085.35/7,154.28
  6. Step 6: Final answer
    x = 8,050.72

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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.