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Finding the Fourth Proportional to 8,690.32, 11,991 and 5,152.24

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Solution

The fourth proportional to 8,690.32, 11,991 and 5,152.24 is: 7,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,690.32 : 11,991 = 5,152.24 : x
  2. Step 2: Convert to fraction form
    8,690.32/11,991 = 5,152.24/x
  3. Step 3: Cross multiply
    8,690.32x = 11,991 × 5,152.24
  4. Step 4: Simplify right side
    8,690.32x = 61,780,509.84
  5. Step 5: Solve for x
    x = 61,780,509.84/8,690.32
  6. Step 6: Final answer
    x = 7,109.12

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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.