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Finding the Fourth Proportional to 6,470.64, 9,705.96 and 3,006

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Solution

The fourth proportional to 6,470.64, 9,705.96 and 3,006 is: 4,509.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.64 : 9,705.96 = 3,006 : x
  2. Step 2: Convert to fraction form
    6,470.64/9,705.96 = 3,006/x
  3. Step 3: Cross multiply
    6,470.64x = 9,705.96 × 3,006
  4. Step 4: Simplify right side
    6,470.64x = 29,176,115.76
  5. Step 5: Solve for x
    x = 29,176,115.76/6,470.64
  6. Step 6: Final answer
    x = 4,509.00

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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.