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Finding the Fourth Proportional to 9,595.86, 14,395.74 and 4,049.20

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Solution

The fourth proportional to 9,595.86, 14,395.74 and 4,049.20 is: 6,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,595.86 : 14,395.74 = 4,049.20 : x
  2. Step 2: Convert to fraction form
    9,595.86/14,395.74 = 4,049.20/x
  3. Step 3: Cross multiply
    9,595.86x = 14,395.74 × 4,049.20
  4. Step 4: Simplify right side
    9,595.86x = 58,291,230.41
  5. Step 5: Solve for x
    x = 58,291,230.41/9,595.86
  6. Step 6: Final answer
    x = 6,074.62

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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.