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Finding the Fourth Proportional to 9,840.64, 14,760.85 and 5,893

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Solution

The fourth proportional to 9,840.64, 14,760.85 and 5,893 is: 8,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.64 : 14,760.85 = 5,893 : x
  2. Step 2: Convert to fraction form
    9,840.64/14,760.85 = 5,893/x
  3. Step 3: Cross multiply
    9,840.64x = 14,760.85 × 5,893
  4. Step 4: Simplify right side
    9,840.64x = 86,985,689.05
  5. Step 5: Solve for x
    x = 86,985,689.05/9,840.64
  6. Step 6: Final answer
    x = 8,839.43

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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.