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Finding the Fourth Proportional to 7,165.84, 10,749.30 and 4,661.32

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Solution

The fourth proportional to 7,165.84, 10,749.30 and 4,661.32 is: 6,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.84 : 10,749.30 = 4,661.32 : x
  2. Step 2: Convert to fraction form
    7,165.84/10,749.30 = 4,661.32/x
  3. Step 3: Cross multiply
    7,165.84x = 10,749.30 × 4,661.32
  4. Step 4: Simplify right side
    7,165.84x = 50,105,927.08
  5. Step 5: Solve for x
    x = 50,105,927.08/7,165.84
  6. Step 6: Final answer
    x = 6,992.33

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Similar ratio
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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.