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Finding the Fourth Proportional to 6,964.74, 9,597.48 and 4,969.68

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Solution

The fourth proportional to 6,964.74, 9,597.48 and 4,969.68 is: 6,848.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.74 : 9,597.48 = 4,969.68 : x
  2. Step 2: Convert to fraction form
    6,964.74/9,597.48 = 4,969.68/x
  3. Step 3: Cross multiply
    6,964.74x = 9,597.48 × 4,969.68
  4. Step 4: Simplify right side
    6,964.74x = 47,696,404.41
  5. Step 5: Solve for x
    x = 47,696,404.41/6,964.74
  6. Step 6: Final answer
    x = 6,848.27

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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.