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Finding the Fourth Proportional to 7,156.16, 9,867.84 and 4,359.68

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Solution

The fourth proportional to 7,156.16, 9,867.84 and 4,359.68 is: 6,011.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.16 : 9,867.84 = 4,359.68 : x
  2. Step 2: Convert to fraction form
    7,156.16/9,867.84 = 4,359.68/x
  3. Step 3: Cross multiply
    7,156.16x = 9,867.84 × 4,359.68
  4. Step 4: Simplify right side
    7,156.16x = 43,020,624.69
  5. Step 5: Solve for x
    x = 43,020,624.69/7,156.16
  6. Step 6: Final answer
    x = 6,011.69

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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.