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Finding the Fourth Proportional to 35,902.10, 53,853.12 and 9,606.16

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Solution

The fourth proportional to 35,902.10, 53,853.12 and 9,606.16 is: 14,409.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,902.10 : 53,853.12 = 9,606.16 : x
  2. Step 2: Convert to fraction form
    35,902.10/53,853.12 = 9,606.16/x
  3. Step 3: Cross multiply
    35,902.10x = 53,853.12 × 9,606.16
  4. Step 4: Simplify right side
    35,902.10x = 517,321,754.54
  5. Step 5: Solve for x
    x = 517,321,754.54/35,902.10
  6. Step 6: Final answer
    x = 14,409.23

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1.5x scale

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.