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Finding the Fourth Proportional to 9,523.97, 13,130.88 and 7,395.90

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Solution

The fourth proportional to 9,523.97, 13,130.88 and 7,395.90 is: 10,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.97 : 13,130.88 = 7,395.90 : x
  2. Step 2: Convert to fraction form
    9,523.97/13,130.88 = 7,395.90/x
  3. Step 3: Cross multiply
    9,523.97x = 13,130.88 × 7,395.90
  4. Step 4: Simplify right side
    9,523.97x = 97,114,642.56
  5. Step 5: Solve for x
    x = 97,114,642.56/9,523.97
  6. Step 6: Final answer
    x = 10,196.87

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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.