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Finding the Fourth Proportional to 15,868, 21,888.72 and 9,896.80

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Solution

The fourth proportional to 15,868, 21,888.72 and 9,896.80 is: 13,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,868 : 21,888.72 = 9,896.80 : x
  2. Step 2: Convert to fraction form
    15,868/21,888.72 = 9,896.80/x
  3. Step 3: Cross multiply
    15,868x = 21,888.72 × 9,896.80
  4. Step 4: Simplify right side
    15,868x = 216,628,284.10
  5. Step 5: Solve for x
    x = 216,628,284.10/15,868
  6. Step 6: Final answer
    x = 13,651.90

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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.