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Finding the Fourth Proportional to 9,417, 12,997.76 and 5,437.52

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Solution

The fourth proportional to 9,417, 12,997.76 and 5,437.52 is: 7,505.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417 : 12,997.76 = 5,437.52 : x
  2. Step 2: Convert to fraction form
    9,417/12,997.76 = 5,437.52/x
  3. Step 3: Cross multiply
    9,417x = 12,997.76 × 5,437.52
  4. Step 4: Simplify right side
    9,417x = 70,675,579.96
  5. Step 5: Solve for x
    x = 70,675,579.96/9,417
  6. Step 6: Final answer
    x = 7,505.11

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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.