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Finding the Fourth Proportional to 9,700.59, 14,550.97 and 5,315.66

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Solution

The fourth proportional to 9,700.59, 14,550.97 and 5,315.66 is: 7,973.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.59 : 14,550.97 = 5,315.66 : x
  2. Step 2: Convert to fraction form
    9,700.59/14,550.97 = 5,315.66/x
  3. Step 3: Cross multiply
    9,700.59x = 14,550.97 × 5,315.66
  4. Step 4: Simplify right side
    9,700.59x = 77,347,909.86
  5. Step 5: Solve for x
    x = 77,347,909.86/9,700.59
  6. Step 6: Final answer
    x = 7,973.53

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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.