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Finding the Fourth Proportional to 7,124.16, 9,831.84 and 4,329.12

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Solution

The fourth proportional to 7,124.16, 9,831.84 and 4,329.12 is: 5,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.16 : 9,831.84 = 4,329.12 : x
  2. Step 2: Convert to fraction form
    7,124.16/9,831.84 = 4,329.12/x
  3. Step 3: Cross multiply
    7,124.16x = 9,831.84 × 4,329.12
  4. Step 4: Simplify right side
    7,124.16x = 42,563,215.18
  5. Step 5: Solve for x
    x = 42,563,215.18/7,124.16
  6. Step 6: Final answer
    x = 5,974.49

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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.