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Finding the Fourth Proportional to 16,534.06, 22,806.93 and 9,815.14

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Solution

The fourth proportional to 16,534.06, 22,806.93 and 9,815.14 is: 13,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.06 : 22,806.93 = 9,815.14 : x
  2. Step 2: Convert to fraction form
    16,534.06/22,806.93 = 9,815.14/x
  3. Step 3: Cross multiply
    16,534.06x = 22,806.93 × 9,815.14
  4. Step 4: Simplify right side
    16,534.06x = 223,853,210.92
  5. Step 5: Solve for x
    x = 223,853,210.92/16,534.06
  6. Step 6: Final answer
    x = 13,538.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.