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Finding the Fourth Proportional to 9,700.09, 14,550.22 and 5,315.15

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Solution

The fourth proportional to 9,700.09, 14,550.22 and 5,315.15 is: 7,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.09 : 14,550.22 = 5,315.15 : x
  2. Step 2: Convert to fraction form
    9,700.09/14,550.22 = 5,315.15/x
  3. Step 3: Cross multiply
    9,700.09x = 14,550.22 × 5,315.15
  4. Step 4: Simplify right side
    9,700.09x = 77,336,614.95
  5. Step 5: Solve for x
    x = 77,336,614.95/9,700.09
  6. Step 6: Final answer
    x = 7,972.77

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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.