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Finding the Fourth Proportional to 7,886.88, 10,884.48 and 4,745.76

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Solution

The fourth proportional to 7,886.88, 10,884.48 and 4,745.76 is: 6,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,886.88 : 10,884.48 = 4,745.76 : x
  2. Step 2: Convert to fraction form
    7,886.88/10,884.48 = 4,745.76/x
  3. Step 3: Cross multiply
    7,886.88x = 10,884.48 × 4,745.76
  4. Step 4: Simplify right side
    7,886.88x = 51,655,129.80
  5. Step 5: Solve for x
    x = 51,655,129.80/7,886.88
  6. Step 6: Final answer
    x = 6,549.50

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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.