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Finding the Fourth Proportional to 6,182.61, 8,530.65 and 3,663.46

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Solution

The fourth proportional to 6,182.61, 8,530.65 and 3,663.46 is: 5,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.61 : 8,530.65 = 3,663.46 : x
  2. Step 2: Convert to fraction form
    6,182.61/8,530.65 = 3,663.46/x
  3. Step 3: Cross multiply
    6,182.61x = 8,530.65 × 3,663.46
  4. Step 4: Simplify right side
    6,182.61x = 31,251,695.05
  5. Step 5: Solve for x
    x = 31,251,695.05/6,182.61
  6. Step 6: Final answer
    x = 5,054.77

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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.