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Finding the Fourth Proportional to 7,012.35, 10,522.62 and 6,447.06

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Solution

The fourth proportional to 7,012.35, 10,522.62 and 6,447.06 is: 9,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.35 : 10,522.62 = 6,447.06 : x
  2. Step 2: Convert to fraction form
    7,012.35/10,522.62 = 6,447.06/x
  3. Step 3: Cross multiply
    7,012.35x = 10,522.62 × 6,447.06
  4. Step 4: Simplify right side
    7,012.35x = 67,839,962.50
  5. Step 5: Solve for x
    x = 67,839,962.50/7,012.35
  6. Step 6: Final answer
    x = 9,674.35

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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.