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Finding the Fourth Proportional to 10,321, 14,243.52 and 6,072.28

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Solution

The fourth proportional to 10,321, 14,243.52 and 6,072.28 is: 8,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321 : 14,243.52 = 6,072.28 : x
  2. Step 2: Convert to fraction form
    10,321/14,243.52 = 6,072.28/x
  3. Step 3: Cross multiply
    10,321x = 14,243.52 × 6,072.28
  4. Step 4: Simplify right side
    10,321x = 86,490,641.63
  5. Step 5: Solve for x
    x = 86,490,641.63/10,321
  6. Step 6: Final answer
    x = 8,380.06

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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.