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Finding the Fourth Proportional to 7,122.16, 9,831.90 and 4,765.84

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Solution

The fourth proportional to 7,122.16, 9,831.90 and 4,765.84 is: 6,579.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,122.16 : 9,831.90 = 4,765.84 : x
  2. Step 2: Convert to fraction form
    7,122.16/9,831.90 = 4,765.84/x
  3. Step 3: Cross multiply
    7,122.16x = 9,831.90 × 4,765.84
  4. Step 4: Simplify right side
    7,122.16x = 46,857,262.30
  5. Step 5: Solve for x
    x = 46,857,262.30/7,122.16
  6. Step 6: Final answer
    x = 6,579.08

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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.