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Finding the Fourth Proportional to 6,894.64, 9,510.37 and 6,012.55

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Solution

The fourth proportional to 6,894.64, 9,510.37 and 6,012.55 is: 8,293.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.64 : 9,510.37 = 6,012.55 : x
  2. Step 2: Convert to fraction form
    6,894.64/9,510.37 = 6,012.55/x
  3. Step 3: Cross multiply
    6,894.64x = 9,510.37 × 6,012.55
  4. Step 4: Simplify right side
    6,894.64x = 57,181,575.14
  5. Step 5: Solve for x
    x = 57,181,575.14/6,894.64
  6. Step 6: Final answer
    x = 8,293.63

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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.