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Finding the Fourth Proportional to 9,820.73, 14,731.26 and 9,322.28

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Solution

The fourth proportional to 9,820.73, 14,731.26 and 9,322.28 is: 13,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.73 : 14,731.26 = 9,322.28 : x
  2. Step 2: Convert to fraction form
    9,820.73/14,731.26 = 9,322.28/x
  3. Step 3: Cross multiply
    9,820.73x = 14,731.26 × 9,322.28
  4. Step 4: Simplify right side
    9,820.73x = 137,328,877.10
  5. Step 5: Solve for x
    x = 137,328,877.10/9,820.73
  6. Step 6: Final answer
    x = 13,983.57

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1.5x scale

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.