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Finding the Fourth Proportional to 7,750.10, 10,695.11 and 4,393.14

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Solution

The fourth proportional to 7,750.10, 10,695.11 and 4,393.14 is: 6,062.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.10 : 10,695.11 = 4,393.14 : x
  2. Step 2: Convert to fraction form
    7,750.10/10,695.11 = 4,393.14/x
  3. Step 3: Cross multiply
    7,750.10x = 10,695.11 × 4,393.14
  4. Step 4: Simplify right side
    7,750.10x = 46,985,090.54
  5. Step 5: Solve for x
    x = 46,985,090.54/7,750.10
  6. Step 6: Final answer
    x = 6,062.52

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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.