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Finding the Fourth Proportional to 6,991.93, 10,502.48 and 4,075.93

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Solution

The fourth proportional to 6,991.93, 10,502.48 and 4,075.93 is: 6,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.93 : 10,502.48 = 4,075.93 : x
  2. Step 2: Convert to fraction form
    6,991.93/10,502.48 = 4,075.93/x
  3. Step 3: Cross multiply
    6,991.93x = 10,502.48 × 4,075.93
  4. Step 4: Simplify right side
    6,991.93x = 42,807,373.31
  5. Step 5: Solve for x
    x = 42,807,373.31/6,991.93
  6. Step 6: Final answer
    x = 6,122.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.