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Finding the Fourth Proportional to 35,865, 53,797.26 and 9,210.92

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Solution

The fourth proportional to 35,865, 53,797.26 and 9,210.92 is: 13,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,865 : 53,797.26 = 9,210.92 : x
  2. Step 2: Convert to fraction form
    35,865/53,797.26 = 9,210.92/x
  3. Step 3: Cross multiply
    35,865x = 53,797.26 × 9,210.92
  4. Step 4: Simplify right side
    35,865x = 495,522,258.08
  5. Step 5: Solve for x
    x = 495,522,258.08/35,865
  6. Step 6: Final answer
    x = 13,816.32

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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.