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Finding the Fourth Proportional to 15,465.97, 23,198.11 and 9,543.99

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Solution

The fourth proportional to 15,465.97, 23,198.11 and 9,543.99 is: 14,315.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.97 : 23,198.11 = 9,543.99 : x
  2. Step 2: Convert to fraction form
    15,465.97/23,198.11 = 9,543.99/x
  3. Step 3: Cross multiply
    15,465.97x = 23,198.11 × 9,543.99
  4. Step 4: Simplify right side
    15,465.97x = 221,402,529.86
  5. Step 5: Solve for x
    x = 221,402,529.86/15,465.97
  6. Step 6: Final answer
    x = 14,315.46

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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.