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Finding the Fourth Proportional to 35,890.84, 53,832.16 and 9,597.63

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Solution

The fourth proportional to 35,890.84, 53,832.16 and 9,597.63 is: 14,395.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,890.84 : 53,832.16 = 9,597.63 : x
  2. Step 2: Convert to fraction form
    35,890.84/53,832.16 = 9,597.63/x
  3. Step 3: Cross multiply
    35,890.84x = 53,832.16 × 9,597.63
  4. Step 4: Simplify right side
    35,890.84x = 516,661,331.66
  5. Step 5: Solve for x
    x = 516,661,331.66/35,890.84
  6. Step 6: Final answer
    x = 14,395.35

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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.