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Finding the Fourth Proportional to 6,705.59, 9,253.26 and 4,054.46

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Solution

The fourth proportional to 6,705.59, 9,253.26 and 4,054.46 is: 5,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.59 : 9,253.26 = 4,054.46 : x
  2. Step 2: Convert to fraction form
    6,705.59/9,253.26 = 4,054.46/x
  3. Step 3: Cross multiply
    6,705.59x = 9,253.26 × 4,054.46
  4. Step 4: Simplify right side
    6,705.59x = 37,516,926.27
  5. Step 5: Solve for x
    x = 37,516,926.27/6,705.59
  6. Step 6: Final answer
    x = 5,594.88

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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.