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Finding the Fourth Proportional to 9,602.58, 13,254.84 and 5,624.96

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Solution

The fourth proportional to 9,602.58, 13,254.84 and 5,624.96 is: 7,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.58 : 13,254.84 = 5,624.96 : x
  2. Step 2: Convert to fraction form
    9,602.58/13,254.84 = 5,624.96/x
  3. Step 3: Cross multiply
    9,602.58x = 13,254.84 × 5,624.96
  4. Step 4: Simplify right side
    9,602.58x = 74,557,944.81
  5. Step 5: Solve for x
    x = 74,557,944.81/9,602.58
  6. Step 6: Final answer
    x = 7,764.37

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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.