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Finding the Fourth Proportional to 6,342.64, 9,510.54 and 2,878

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Solution

The fourth proportional to 6,342.64, 9,510.54 and 2,878 is: 4,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.64 : 9,510.54 = 2,878 : x
  2. Step 2: Convert to fraction form
    6,342.64/9,510.54 = 2,878/x
  3. Step 3: Cross multiply
    6,342.64x = 9,510.54 × 2,878
  4. Step 4: Simplify right side
    6,342.64x = 27,371,334.12
  5. Step 5: Solve for x
    x = 27,371,334.12/6,342.64
  6. Step 6: Final answer
    x = 4,315.45

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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.