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Finding the Fourth Proportional to 6,956.40, 9,597.47 and 3,970.11

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Solution

The fourth proportional to 6,956.40, 9,597.47 and 3,970.11 is: 5,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,956.40 : 9,597.47 = 3,970.11 : x
  2. Step 2: Convert to fraction form
    6,956.40/9,597.47 = 3,970.11/x
  3. Step 3: Cross multiply
    6,956.40x = 9,597.47 × 3,970.11
  4. Step 4: Simplify right side
    6,956.40x = 38,102,991.77
  5. Step 5: Solve for x
    x = 38,102,991.77/6,956.40
  6. Step 6: Final answer
    x = 5,477.40

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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.