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Finding the Fourth Proportional to 9,267.70, 13,000.70 and 9,267.70

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Solution

The fourth proportional to 9,267.70, 13,000.70 and 9,267.70 is: 13,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.70 : 13,000.70 = 9,267.70 : x
  2. Step 2: Convert to fraction form
    9,267.70/13,000.70 = 9,267.70/x
  3. Step 3: Cross multiply
    9,267.70x = 13,000.70 × 9,267.70
  4. Step 4: Simplify right side
    9,267.70x = 120,486,587.39
  5. Step 5: Solve for x
    x = 120,486,587.39/9,267.70
  6. Step 6: Final answer
    x = 13,000.70

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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.