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Finding the Fourth Proportional to 6,954.69, 9,598.61 and 3,970.65

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Solution

The fourth proportional to 6,954.69, 9,598.61 and 3,970.65 is: 5,480.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.69 : 9,598.61 = 3,970.65 : x
  2. Step 2: Convert to fraction form
    6,954.69/9,598.61 = 3,970.65/x
  3. Step 3: Cross multiply
    6,954.69x = 9,598.61 × 3,970.65
  4. Step 4: Simplify right side
    6,954.69x = 38,112,700.94
  5. Step 5: Solve for x
    x = 38,112,700.94/6,954.69
  6. Step 6: Final answer
    x = 5,480.14

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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.