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Finding the Fourth Proportional to 6,464.64, 8,912.16 and 5,044.08

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Solution

The fourth proportional to 6,464.64, 8,912.16 and 5,044.08 is: 6,953.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.64 : 8,912.16 = 5,044.08 : x
  2. Step 2: Convert to fraction form
    6,464.64/8,912.16 = 5,044.08/x
  3. Step 3: Cross multiply
    6,464.64x = 8,912.16 × 5,044.08
  4. Step 4: Simplify right side
    6,464.64x = 44,953,648.01
  5. Step 5: Solve for x
    x = 44,953,648.01/6,464.64
  6. Step 6: Final answer
    x = 6,953.77

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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.