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Finding the Fourth Proportional to 7,356.98, 10,142.88 and 6,093.38

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Solution

The fourth proportional to 7,356.98, 10,142.88 and 6,093.38 is: 8,400.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.98 : 10,142.88 = 6,093.38 : x
  2. Step 2: Convert to fraction form
    7,356.98/10,142.88 = 6,093.38/x
  3. Step 3: Cross multiply
    7,356.98x = 10,142.88 × 6,093.38
  4. Step 4: Simplify right side
    7,356.98x = 61,804,422.13
  5. Step 5: Solve for x
    x = 61,804,422.13/7,356.98
  6. Step 6: Final answer
    x = 8,400.79

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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.