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Finding the Fourth Proportional to 10,186.96, 15,309.96 and 6,746.08

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Solution

The fourth proportional to 10,186.96, 15,309.96 and 6,746.08 is: 10,138.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.96 : 15,309.96 = 6,746.08 : x
  2. Step 2: Convert to fraction form
    10,186.96/15,309.96 = 6,746.08/x
  3. Step 3: Cross multiply
    10,186.96x = 15,309.96 × 6,746.08
  4. Step 4: Simplify right side
    10,186.96x = 103,282,214.96
  5. Step 5: Solve for x
    x = 103,282,214.96/10,186.96
  6. Step 6: Final answer
    x = 10,138.67

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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.