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Finding the Fourth Proportional to 10,314.03, 14,244.98 and 6,970.67

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Solution

The fourth proportional to 10,314.03, 14,244.98 and 6,970.67 is: 9,627.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.03 : 14,244.98 = 6,970.67 : x
  2. Step 2: Convert to fraction form
    10,314.03/14,244.98 = 6,970.67/x
  3. Step 3: Cross multiply
    10,314.03x = 14,244.98 × 6,970.67
  4. Step 4: Simplify right side
    10,314.03x = 99,297,054.74
  5. Step 5: Solve for x
    x = 99,297,054.74/10,314.03
  6. Step 6: Final answer
    x = 9,627.38

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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.