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Finding the Fourth Proportional to 9,789.20, 13,730.80 and 9,789.20

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Solution

The fourth proportional to 9,789.20, 13,730.80 and 9,789.20 is: 13,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.20 : 13,730.80 = 9,789.20 : x
  2. Step 2: Convert to fraction form
    9,789.20/13,730.80 = 9,789.20/x
  3. Step 3: Cross multiply
    9,789.20x = 13,730.80 × 9,789.20
  4. Step 4: Simplify right side
    9,789.20x = 134,413,547.36
  5. Step 5: Solve for x
    x = 134,413,547.36/9,789.20
  6. Step 6: Final answer
    x = 13,730.80

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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.