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Finding the Fourth Proportional to 9,650.32, 13,317.80 and 5,458.32

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Solution

The fourth proportional to 9,650.32, 13,317.80 and 5,458.32 is: 7,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.32 : 13,317.80 = 5,458.32 : x
  2. Step 2: Convert to fraction form
    9,650.32/13,317.80 = 5,458.32/x
  3. Step 3: Cross multiply
    9,650.32x = 13,317.80 × 5,458.32
  4. Step 4: Simplify right side
    9,650.32x = 72,692,814.10
  5. Step 5: Solve for x
    x = 72,692,814.10/9,650.32
  6. Step 6: Final answer
    x = 7,532.68

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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.