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Finding the Fourth Proportional to 10,631, 14,674.62 and 7,328.60

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Solution

The fourth proportional to 10,631, 14,674.62 and 7,328.60 is: 10,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,631 : 14,674.62 = 7,328.60 : x
  2. Step 2: Convert to fraction form
    10,631/14,674.62 = 7,328.60/x
  3. Step 3: Cross multiply
    10,631x = 14,674.62 × 7,328.60
  4. Step 4: Simplify right side
    10,631x = 107,544,420.13
  5. Step 5: Solve for x
    x = 107,544,420.13/10,631
  6. Step 6: Final answer
    x = 10,116.12

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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.