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Finding the Fourth Proportional to 6,956.33, 9,597.34 and 3,970.01

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Solution

The fourth proportional to 6,956.33, 9,597.34 and 3,970.01 is: 5,477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.33 : 9,597.34 = 3,970.01 : x
  2. Step 2: Convert to fraction form
    6,956.33/9,597.34 = 3,970.01/x
  3. Step 3: Cross multiply
    6,956.33x = 9,597.34 × 3,970.01
  4. Step 4: Simplify right side
    6,956.33x = 38,101,535.77
  5. Step 5: Solve for x
    x = 38,101,535.77/6,956.33
  6. Step 6: Final answer
    x = 5,477.25

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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.