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Finding the Fourth Proportional to 7,759, 10,707.28 and 4,222.16

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Solution

The fourth proportional to 7,759, 10,707.28 and 4,222.16 is: 5,826.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759 : 10,707.28 = 4,222.16 : x
  2. Step 2: Convert to fraction form
    7,759/10,707.28 = 4,222.16/x
  3. Step 3: Cross multiply
    7,759x = 10,707.28 × 4,222.16
  4. Step 4: Simplify right side
    7,759x = 45,207,849.32
  5. Step 5: Solve for x
    x = 45,207,849.32/7,759
  6. Step 6: Final answer
    x = 5,826.50

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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.