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Finding the Fourth Proportional to 6,954.67, 9,597.72 and 3,970.53

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Solution

The fourth proportional to 6,954.67, 9,597.72 and 3,970.53 is: 5,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.67 : 9,597.72 = 3,970.53 : x
  2. Step 2: Convert to fraction form
    6,954.67/9,597.72 = 3,970.53/x
  3. Step 3: Cross multiply
    6,954.67x = 9,597.72 × 3,970.53
  4. Step 4: Simplify right side
    6,954.67x = 38,108,035.19
  5. Step 5: Solve for x
    x = 38,108,035.19/6,954.67
  6. Step 6: Final answer
    x = 5,479.49

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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.