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Finding the Fourth Proportional to 9,698.90, 13,384.10 and 5,928.38

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Solution

The fourth proportional to 9,698.90, 13,384.10 and 5,928.38 is: 8,180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.90 : 13,384.10 = 5,928.38 : x
  2. Step 2: Convert to fraction form
    9,698.90/13,384.10 = 5,928.38/x
  3. Step 3: Cross multiply
    9,698.90x = 13,384.10 × 5,928.38
  4. Step 4: Simplify right side
    9,698.90x = 79,345,934.20
  5. Step 5: Solve for x
    x = 79,345,934.20/9,698.90
  6. Step 6: Final answer
    x = 8,180.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.