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Finding the Fourth Proportional to 6,970.76, 9,616.91 and 3,984.99

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Solution

The fourth proportional to 6,970.76, 9,616.91 and 3,984.99 is: 5,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.76 : 9,616.91 = 3,984.99 : x
  2. Step 2: Convert to fraction form
    6,970.76/9,616.91 = 3,984.99/x
  3. Step 3: Cross multiply
    6,970.76x = 9,616.91 × 3,984.99
  4. Step 4: Simplify right side
    6,970.76x = 38,323,270.26
  5. Step 5: Solve for x
    x = 38,323,270.26/6,970.76
  6. Step 6: Final answer
    x = 5,497.72

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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.