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Finding the Fourth Proportional to 7,154.80, 9,878.19 and 5,831.66

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Solution

The fourth proportional to 7,154.80, 9,878.19 and 5,831.66 is: 8,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.80 : 9,878.19 = 5,831.66 : x
  2. Step 2: Convert to fraction form
    7,154.80/9,878.19 = 5,831.66/x
  3. Step 3: Cross multiply
    7,154.80x = 9,878.19 × 5,831.66
  4. Step 4: Simplify right side
    7,154.80x = 57,606,245.50
  5. Step 5: Solve for x
    x = 57,606,245.50/7,154.80
  6. Step 6: Final answer
    x = 8,051.42

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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.