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Finding the Fourth Proportional to 35,892.16, 53,833.92 and 9,596.32

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Solution

The fourth proportional to 35,892.16, 53,833.92 and 9,596.32 is: 14,393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,892.16 : 53,833.92 = 9,596.32 : x
  2. Step 2: Convert to fraction form
    35,892.16/53,833.92 = 9,596.32/x
  3. Step 3: Cross multiply
    35,892.16x = 53,833.92 × 9,596.32
  4. Step 4: Simplify right side
    35,892.16x = 516,607,523.17
  5. Step 5: Solve for x
    x = 516,607,523.17/35,892.16
  6. Step 6: Final answer
    x = 14,393.32

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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.