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Finding the Fourth Proportional to 7,954.58, 10,980.28 and 6,831.01

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Solution

The fourth proportional to 7,954.58, 10,980.28 and 6,831.01 is: 9,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.58 : 10,980.28 = 6,831.01 : x
  2. Step 2: Convert to fraction form
    7,954.58/10,980.28 = 6,831.01/x
  3. Step 3: Cross multiply
    7,954.58x = 10,980.28 × 6,831.01
  4. Step 4: Simplify right side
    7,954.58x = 75,006,424.75
  5. Step 5: Solve for x
    x = 75,006,424.75/7,954.58
  6. Step 6: Final answer
    x = 9,429.34

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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.