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Finding the Fourth Proportional to 9,395.50, 12,965.64 and 5,146.52

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Solution

The fourth proportional to 9,395.50, 12,965.64 and 5,146.52 is: 7,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.50 : 12,965.64 = 5,146.52 : x
  2. Step 2: Convert to fraction form
    9,395.50/12,965.64 = 5,146.52/x
  3. Step 3: Cross multiply
    9,395.50x = 12,965.64 × 5,146.52
  4. Step 4: Simplify right side
    9,395.50x = 66,727,967.64
  5. Step 5: Solve for x
    x = 66,727,967.64/9,395.50
  6. Step 6: Final answer
    x = 7,102.12

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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.