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Finding the Fourth Proportional to 10,566.41, 15,855.03 and 4,647.42

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Solution

The fourth proportional to 10,566.41, 15,855.03 and 4,647.42 is: 6,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.41 : 15,855.03 = 4,647.42 : x
  2. Step 2: Convert to fraction form
    10,566.41/15,855.03 = 4,647.42/x
  3. Step 3: Cross multiply
    10,566.41x = 15,855.03 × 4,647.42
  4. Step 4: Simplify right side
    10,566.41x = 73,684,983.52
  5. Step 5: Solve for x
    x = 73,684,983.52/10,566.41
  6. Step 6: Final answer
    x = 6,973.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.