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Finding the Fourth Proportional to 9,807.05, 14,702.28 and 4,256.22

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Solution

The fourth proportional to 9,807.05, 14,702.28 and 4,256.22 is: 6,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.05 : 14,702.28 = 4,256.22 : x
  2. Step 2: Convert to fraction form
    9,807.05/14,702.28 = 4,256.22/x
  3. Step 3: Cross multiply
    9,807.05x = 14,702.28 × 4,256.22
  4. Step 4: Simplify right side
    9,807.05x = 62,576,102.63
  5. Step 5: Solve for x
    x = 62,576,102.63/9,807.05
  6. Step 6: Final answer
    x = 6,380.73

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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.