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Finding the Fourth Proportional to 9,770.10, 13,712.70 and 9,770.10

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Solution

The fourth proportional to 9,770.10, 13,712.70 and 9,770.10 is: 13,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.10 : 13,712.70 = 9,770.10 : x
  2. Step 2: Convert to fraction form
    9,770.10/13,712.70 = 9,770.10/x
  3. Step 3: Cross multiply
    9,770.10x = 13,712.70 × 9,770.10
  4. Step 4: Simplify right side
    9,770.10x = 133,974,450.27
  5. Step 5: Solve for x
    x = 133,974,450.27/9,770.10
  6. Step 6: Final answer
    x = 13,712.70

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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.