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Finding the Fourth Proportional to 7,966.96, 10,995.24 and 4,430.50

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Solution

The fourth proportional to 7,966.96, 10,995.24 and 4,430.50 is: 6,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.96 : 10,995.24 = 4,430.50 : x
  2. Step 2: Convert to fraction form
    7,966.96/10,995.24 = 4,430.50/x
  3. Step 3: Cross multiply
    7,966.96x = 10,995.24 × 4,430.50
  4. Step 4: Simplify right side
    7,966.96x = 48,714,399.95
  5. Step 5: Solve for x
    x = 48,714,399.95/7,966.96
  6. Step 6: Final answer
    x = 6,114.56

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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.