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Finding the Fourth Proportional to 9,138.70, 12,820.10 and 9,138.70

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Solution

The fourth proportional to 9,138.70, 12,820.10 and 9,138.70 is: 12,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.70 : 12,820.10 = 9,138.70 : x
  2. Step 2: Convert to fraction form
    9,138.70/12,820.10 = 9,138.70/x
  3. Step 3: Cross multiply
    9,138.70x = 12,820.10 × 9,138.70
  4. Step 4: Simplify right side
    9,138.70x = 117,159,047.87
  5. Step 5: Solve for x
    x = 117,159,047.87/9,138.70
  6. Step 6: Final answer
    x = 12,820.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.