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Finding the Fourth Proportional to 13,659.16, 18,826.98 and 9,675.16

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Solution

The fourth proportional to 13,659.16, 18,826.98 and 9,675.16 is: 13,335.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,659.16 : 18,826.98 = 9,675.16 : x
  2. Step 2: Convert to fraction form
    13,659.16/18,826.98 = 9,675.16/x
  3. Step 3: Cross multiply
    13,659.16x = 18,826.98 × 9,675.16
  4. Step 4: Simplify right side
    13,659.16x = 182,154,043.82
  5. Step 5: Solve for x
    x = 182,154,043.82/13,659.16
  6. Step 6: Final answer
    x = 13,335.67

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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.