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Finding the Fourth Proportional to 9,474.81, 13,068.14 and 6,956.11

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Solution

The fourth proportional to 9,474.81, 13,068.14 and 6,956.11 is: 9,594.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.81 : 13,068.14 = 6,956.11 : x
  2. Step 2: Convert to fraction form
    9,474.81/13,068.14 = 6,956.11/x
  3. Step 3: Cross multiply
    9,474.81x = 13,068.14 × 6,956.11
  4. Step 4: Simplify right side
    9,474.81x = 90,903,419.34
  5. Step 5: Solve for x
    x = 90,903,419.34/9,474.81
  6. Step 6: Final answer
    x = 9,594.22

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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.