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Finding the Fourth Proportional to 7,750.96, 10,695.76 and 4,394.48

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Solution

The fourth proportional to 7,750.96, 10,695.76 and 4,394.48 is: 6,064.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.96 : 10,695.76 = 4,394.48 : x
  2. Step 2: Convert to fraction form
    7,750.96/10,695.76 = 4,394.48/x
  3. Step 3: Cross multiply
    7,750.96x = 10,695.76 × 4,394.48
  4. Step 4: Simplify right side
    7,750.96x = 47,002,303.40
  5. Step 5: Solve for x
    x = 47,002,303.40/7,750.96
  6. Step 6: Final answer
    x = 6,064.06

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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.