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Finding the Fourth Proportional to 11,464.02, 15,823.16 and 6,990.24

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Solution

The fourth proportional to 11,464.02, 15,823.16 and 6,990.24 is: 9,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.02 : 15,823.16 = 6,990.24 : x
  2. Step 2: Convert to fraction form
    11,464.02/15,823.16 = 6,990.24/x
  3. Step 3: Cross multiply
    11,464.02x = 15,823.16 × 6,990.24
  4. Step 4: Simplify right side
    11,464.02x = 110,607,651.01
  5. Step 5: Solve for x
    x = 110,607,651.01/11,464.02
  6. Step 6: Final answer
    x = 9,648.24

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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.