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Finding the Fourth Proportional to 7,106.46, 10,669.10 and 6,073.10

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Solution

The fourth proportional to 7,106.46, 10,669.10 and 6,073.10 is: 9,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.46 : 10,669.10 = 6,073.10 : x
  2. Step 2: Convert to fraction form
    7,106.46/10,669.10 = 6,073.10/x
  3. Step 3: Cross multiply
    7,106.46x = 10,669.10 × 6,073.10
  4. Step 4: Simplify right side
    7,106.46x = 64,794,427.50
  5. Step 5: Solve for x
    x = 64,794,427.50/7,106.46
  6. Step 6: Final answer
    x = 9,117.68

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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.