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Finding the Fourth Proportional to 9,857.52, 13,602.78 and 5,607.96

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Solution

The fourth proportional to 9,857.52, 13,602.78 and 5,607.96 is: 7,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.52 : 13,602.78 = 5,607.96 : x
  2. Step 2: Convert to fraction form
    9,857.52/13,602.78 = 5,607.96/x
  3. Step 3: Cross multiply
    9,857.52x = 13,602.78 × 5,607.96
  4. Step 4: Simplify right side
    9,857.52x = 76,283,846.13
  5. Step 5: Solve for x
    x = 76,283,846.13/9,857.52
  6. Step 6: Final answer
    x = 7,738.64

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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.