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Finding the Fourth Proportional to 9,044, 12,485.84 and 6,832.16

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Solution

The fourth proportional to 9,044, 12,485.84 and 6,832.16 is: 9,432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044 : 12,485.84 = 6,832.16 : x
  2. Step 2: Convert to fraction form
    9,044/12,485.84 = 6,832.16/x
  3. Step 3: Cross multiply
    9,044x = 12,485.84 × 6,832.16
  4. Step 4: Simplify right side
    9,044x = 85,305,256.61
  5. Step 5: Solve for x
    x = 85,305,256.61/9,044
  6. Step 6: Final answer
    x = 9,432.25

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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.