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Finding the Fourth Proportional to 15,988.10, 22,062.74 and 8,913.14

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Solution

The fourth proportional to 15,988.10, 22,062.74 and 8,913.14 is: 12,299.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988.10 : 22,062.74 = 8,913.14 : x
  2. Step 2: Convert to fraction form
    15,988.10/22,062.74 = 8,913.14/x
  3. Step 3: Cross multiply
    15,988.10x = 22,062.74 × 8,913.14
  4. Step 4: Simplify right side
    15,988.10x = 196,648,290.40
  5. Step 5: Solve for x
    x = 196,648,290.40/15,988.10
  6. Step 6: Final answer
    x = 12,299.67

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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.