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Finding the Fourth Proportional to 15,885.60, 21,917.76 and 9,509.58

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Solution

The fourth proportional to 15,885.60, 21,917.76 and 9,509.58 is: 13,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,885.60 : 21,917.76 = 9,509.58 : x
  2. Step 2: Convert to fraction form
    15,885.60/21,917.76 = 9,509.58/x
  3. Step 3: Cross multiply
    15,885.60x = 21,917.76 × 9,509.58
  4. Step 4: Simplify right side
    15,885.60x = 208,428,692.14
  5. Step 5: Solve for x
    x = 208,428,692.14/15,885.60
  6. Step 6: Final answer
    x = 13,120.61

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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.