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Finding the Fourth Proportional to 9,832.64, 13,569.12 and 5,640.64

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Solution

The fourth proportional to 9,832.64, 13,569.12 and 5,640.64 is: 7,784.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.64 : 13,569.12 = 5,640.64 : x
  2. Step 2: Convert to fraction form
    9,832.64/13,569.12 = 5,640.64/x
  3. Step 3: Cross multiply
    9,832.64x = 13,569.12 × 5,640.64
  4. Step 4: Simplify right side
    9,832.64x = 76,538,521.04
  5. Step 5: Solve for x
    x = 76,538,521.04/9,832.64
  6. Step 6: Final answer
    x = 7,784.13

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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.