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Finding the Fourth Proportional to 9,810.28, 14,702.94 and 4,609

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Solution

The fourth proportional to 9,810.28, 14,702.94 and 4,609 is: 6,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.28 : 14,702.94 = 4,609 : x
  2. Step 2: Convert to fraction form
    9,810.28/14,702.94 = 4,609/x
  3. Step 3: Cross multiply
    9,810.28x = 14,702.94 × 4,609
  4. Step 4: Simplify right side
    9,810.28x = 67,765,850.46
  5. Step 5: Solve for x
    x = 67,765,850.46/9,810.28
  6. Step 6: Final answer
    x = 6,907.64

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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.