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Finding the Fourth Proportional to 6,272.91, 9,409.10 and 1,593.07

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Solution

The fourth proportional to 6,272.91, 9,409.10 and 1,593.07 is: 2,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.91 : 9,409.10 = 1,593.07 : x
  2. Step 2: Convert to fraction form
    6,272.91/9,409.10 = 1,593.07/x
  3. Step 3: Cross multiply
    6,272.91x = 9,409.10 × 1,593.07
  4. Step 4: Simplify right side
    6,272.91x = 14,989,323.45
  5. Step 5: Solve for x
    x = 14,989,323.45/6,272.91
  6. Step 6: Final answer
    x = 2,389.53

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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.