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Finding the Fourth Proportional to 9,701.59, 14,546.01 and 4,702.64

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Solution

The fourth proportional to 9,701.59, 14,546.01 and 4,702.64 is: 7,050.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.59 : 14,546.01 = 4,702.64 : x
  2. Step 2: Convert to fraction form
    9,701.59/14,546.01 = 4,702.64/x
  3. Step 3: Cross multiply
    9,701.59x = 14,546.01 × 4,702.64
  4. Step 4: Simplify right side
    9,701.59x = 68,404,648.47
  5. Step 5: Solve for x
    x = 68,404,648.47/9,701.59
  6. Step 6: Final answer
    x = 7,050.87

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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.