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Finding the Fourth Proportional to 6,926.52, 9,549.63 and 4,686.78

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Solution

The fourth proportional to 6,926.52, 9,549.63 and 4,686.78 is: 6,461.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.52 : 9,549.63 = 4,686.78 : x
  2. Step 2: Convert to fraction form
    6,926.52/9,549.63 = 4,686.78/x
  3. Step 3: Cross multiply
    6,926.52x = 9,549.63 × 4,686.78
  4. Step 4: Simplify right side
    6,926.52x = 44,757,014.89
  5. Step 5: Solve for x
    x = 44,757,014.89/6,926.52
  6. Step 6: Final answer
    x = 6,461.69

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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.