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Finding the Fourth Proportional to 9,780.70, 13,718.90 and 9,780.70

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Solution

The fourth proportional to 9,780.70, 13,718.90 and 9,780.70 is: 13,718.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.70 : 13,718.90 = 9,780.70 : x
  2. Step 2: Convert to fraction form
    9,780.70/13,718.90 = 9,780.70/x
  3. Step 3: Cross multiply
    9,780.70x = 13,718.90 × 9,780.70
  4. Step 4: Simplify right side
    9,780.70x = 134,180,445.23
  5. Step 5: Solve for x
    x = 134,180,445.23/9,780.70
  6. Step 6: Final answer
    x = 13,718.90

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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.