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Finding the Fourth Proportional to 9,458.58, 13,054.14 and 5,732.58

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Solution

The fourth proportional to 9,458.58, 13,054.14 and 5,732.58 is: 7,911.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.58 : 13,054.14 = 5,732.58 : x
  2. Step 2: Convert to fraction form
    9,458.58/13,054.14 = 5,732.58/x
  3. Step 3: Cross multiply
    9,458.58x = 13,054.14 × 5,732.58
  4. Step 4: Simplify right side
    9,458.58x = 74,833,901.88
  5. Step 5: Solve for x
    x = 74,833,901.88/9,458.58
  6. Step 6: Final answer
    x = 7,911.75

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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.