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Finding the Fourth Proportional to 6,875.80, 10,357.51 and 6,278.02

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Solution

The fourth proportional to 6,875.80, 10,357.51 and 6,278.02 is: 9,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,875.80 : 10,357.51 = 6,278.02 : x
  2. Step 2: Convert to fraction form
    6,875.80/10,357.51 = 6,278.02/x
  3. Step 3: Cross multiply
    6,875.80x = 10,357.51 × 6,278.02
  4. Step 4: Simplify right side
    6,875.80x = 65,024,654.93
  5. Step 5: Solve for x
    x = 65,024,654.93/6,875.80
  6. Step 6: Final answer
    x = 9,457.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.