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Finding the Fourth Proportional to 6,895.74, 9,510.90 and 4,473.66

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Solution

The fourth proportional to 6,895.74, 9,510.90 and 4,473.66 is: 6,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.74 : 9,510.90 = 4,473.66 : x
  2. Step 2: Convert to fraction form
    6,895.74/9,510.90 = 4,473.66/x
  3. Step 3: Cross multiply
    6,895.74x = 9,510.90 × 4,473.66
  4. Step 4: Simplify right side
    6,895.74x = 42,548,532.89
  5. Step 5: Solve for x
    x = 42,548,532.89/6,895.74
  6. Step 6: Final answer
    x = 6,170.26

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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.