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Finding the Fourth Proportional to 7,675.54, 10,595.76 and 5,787.88

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Solution

The fourth proportional to 7,675.54, 10,595.76 and 5,787.88 is: 7,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.54 : 10,595.76 = 5,787.88 : x
  2. Step 2: Convert to fraction form
    7,675.54/10,595.76 = 5,787.88/x
  3. Step 3: Cross multiply
    7,675.54x = 10,595.76 × 5,787.88
  4. Step 4: Simplify right side
    7,675.54x = 61,326,987.39
  5. Step 5: Solve for x
    x = 61,326,987.39/7,675.54
  6. Step 6: Final answer
    x = 7,989.92

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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.