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Finding the Fourth Proportional to 9,397.62, 14,106.05 and 7,340.42

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Solution

The fourth proportional to 9,397.62, 14,106.05 and 7,340.42 is: 11,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.62 : 14,106.05 = 7,340.42 : x
  2. Step 2: Convert to fraction form
    9,397.62/14,106.05 = 7,340.42/x
  3. Step 3: Cross multiply
    9,397.62x = 14,106.05 × 7,340.42
  4. Step 4: Simplify right side
    9,397.62x = 103,544,357.63
  5. Step 5: Solve for x
    x = 103,544,357.63/9,397.62
  6. Step 6: Final answer
    x = 11,018.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.