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Finding the Fourth Proportional to 22,784.64, 34,187.52 and 9,640.08

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Solution

The fourth proportional to 22,784.64, 34,187.52 and 9,640.08 is: 14,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,784.64 : 34,187.52 = 9,640.08 : x
  2. Step 2: Convert to fraction form
    22,784.64/34,187.52 = 9,640.08/x
  3. Step 3: Cross multiply
    22,784.64x = 34,187.52 × 9,640.08
  4. Step 4: Simplify right side
    22,784.64x = 329,570,427.80
  5. Step 5: Solve for x
    x = 329,570,427.80/22,784.64
  6. Step 6: Final answer
    x = 14,464.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.