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Finding the Fourth Proportional to 7,894.84, 10,894.71 and 4,537.56

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Solution

The fourth proportional to 7,894.84, 10,894.71 and 4,537.56 is: 6,261.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.84 : 10,894.71 = 4,537.56 : x
  2. Step 2: Convert to fraction form
    7,894.84/10,894.71 = 4,537.56/x
  3. Step 3: Cross multiply
    7,894.84x = 10,894.71 × 4,537.56
  4. Step 4: Simplify right side
    7,894.84x = 49,435,458.18
  5. Step 5: Solve for x
    x = 49,435,458.18/7,894.84
  6. Step 6: Final answer
    x = 6,261.74

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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.