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Finding the Fourth Proportional to 9,722.99, 14,590.16 and 4,100.32

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Solution

The fourth proportional to 9,722.99, 14,590.16 and 4,100.32 is: 6,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.99 : 14,590.16 = 4,100.32 : x
  2. Step 2: Convert to fraction form
    9,722.99/14,590.16 = 4,100.32/x
  3. Step 3: Cross multiply
    9,722.99x = 14,590.16 × 4,100.32
  4. Step 4: Simplify right side
    9,722.99x = 59,824,324.85
  5. Step 5: Solve for x
    x = 59,824,324.85/9,722.99
  6. Step 6: Final answer
    x = 6,152.87

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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.