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Finding the Fourth Proportional to 5,574.34, 8,354.22 and 4,176.69

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Solution

The fourth proportional to 5,574.34, 8,354.22 and 4,176.69 is: 6,259.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.34 : 8,354.22 = 4,176.69 : x
  2. Step 2: Convert to fraction form
    5,574.34/8,354.22 = 4,176.69/x
  3. Step 3: Cross multiply
    5,574.34x = 8,354.22 × 4,176.69
  4. Step 4: Simplify right side
    5,574.34x = 34,892,987.13
  5. Step 5: Solve for x
    x = 34,892,987.13/5,574.34
  6. Step 6: Final answer
    x = 6,259.57

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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.