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Finding the Fourth Proportional to 6,980.69, 9,632.54 and 4,148.18

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Solution

The fourth proportional to 6,980.69, 9,632.54 and 4,148.18 is: 5,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.69 : 9,632.54 = 4,148.18 : x
  2. Step 2: Convert to fraction form
    6,980.69/9,632.54 = 4,148.18/x
  3. Step 3: Cross multiply
    6,980.69x = 9,632.54 × 4,148.18
  4. Step 4: Simplify right side
    6,980.69x = 39,957,513.84
  5. Step 5: Solve for x
    x = 39,957,513.84/6,980.69
  6. Step 6: Final answer
    x = 5,724.01

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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.