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Finding the Fourth Proportional to 7,895.71, 10,891.35 and 5,768.64

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Solution

The fourth proportional to 7,895.71, 10,891.35 and 5,768.64 is: 7,957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.71 : 10,891.35 = 5,768.64 : x
  2. Step 2: Convert to fraction form
    7,895.71/10,891.35 = 5,768.64/x
  3. Step 3: Cross multiply
    7,895.71x = 10,891.35 × 5,768.64
  4. Step 4: Simplify right side
    7,895.71x = 62,828,277.26
  5. Step 5: Solve for x
    x = 62,828,277.26/7,895.71
  6. Step 6: Final answer
    x = 7,957.27

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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.