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Finding the Fourth Proportional to 6,894.76, 9,509.56 and 4,773.84

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Solution

The fourth proportional to 6,894.76, 9,509.56 and 4,773.84 is: 6,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.76 : 9,509.56 = 4,773.84 : x
  2. Step 2: Convert to fraction form
    6,894.76/9,509.56 = 4,773.84/x
  3. Step 3: Cross multiply
    6,894.76x = 9,509.56 × 4,773.84
  4. Step 4: Simplify right side
    6,894.76x = 45,397,117.91
  5. Step 5: Solve for x
    x = 45,397,117.91/6,894.76
  6. Step 6: Final answer
    x = 6,584.29

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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.