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Finding the Fourth Proportional to 5,653.32, 7,796.02 and 5,206.35

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Solution

The fourth proportional to 5,653.32, 7,796.02 and 5,206.35 is: 7,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.32 : 7,796.02 = 5,206.35 : x
  2. Step 2: Convert to fraction form
    5,653.32/7,796.02 = 5,206.35/x
  3. Step 3: Cross multiply
    5,653.32x = 7,796.02 × 5,206.35
  4. Step 4: Simplify right side
    5,653.32x = 40,588,769.75
  5. Step 5: Solve for x
    x = 40,588,769.75/5,653.32
  6. Step 6: Final answer
    x = 7,179.64

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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.