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Finding the Fourth Proportional to 9,517, 13,133.48 and 5,325.24

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Solution

The fourth proportional to 9,517, 13,133.48 and 5,325.24 is: 7,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517 : 13,133.48 = 5,325.24 : x
  2. Step 2: Convert to fraction form
    9,517/13,133.48 = 5,325.24/x
  3. Step 3: Cross multiply
    9,517x = 13,133.48 × 5,325.24
  4. Step 4: Simplify right side
    9,517x = 69,938,933.04
  5. Step 5: Solve for x
    x = 69,938,933.04/9,517
  6. Step 6: Final answer
    x = 7,348.84

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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.