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Finding the Fourth Proportional to 11,374.18, 15,689.19 and 7,831.24

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Solution

The fourth proportional to 11,374.18, 15,689.19 and 7,831.24 is: 10,802.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,374.18 : 15,689.19 = 7,831.24 : x
  2. Step 2: Convert to fraction form
    11,374.18/15,689.19 = 7,831.24/x
  3. Step 3: Cross multiply
    11,374.18x = 15,689.19 × 7,831.24
  4. Step 4: Simplify right side
    11,374.18x = 122,865,812.30
  5. Step 5: Solve for x
    x = 122,865,812.30/11,374.18
  6. Step 6: Final answer
    x = 10,802.17

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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.