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Finding the Fourth Proportional to 9,697.15, 14,545.72 and 2,771.65

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Solution

The fourth proportional to 9,697.15, 14,545.72 and 2,771.65 is: 4,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.15 : 14,545.72 = 2,771.65 : x
  2. Step 2: Convert to fraction form
    9,697.15/14,545.72 = 2,771.65/x
  3. Step 3: Cross multiply
    9,697.15x = 14,545.72 × 2,771.65
  4. Step 4: Simplify right side
    9,697.15x = 40,315,572.11
  5. Step 5: Solve for x
    x = 40,315,572.11/9,697.15
  6. Step 6: Final answer
    x = 4,157.47

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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.