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Finding the Fourth Proportional to 6,490.72, 9,721.44 and 4,551.60

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Solution

The fourth proportional to 6,490.72, 9,721.44 and 4,551.60 is: 6,817.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.72 : 9,721.44 = 4,551.60 : x
  2. Step 2: Convert to fraction form
    6,490.72/9,721.44 = 4,551.60/x
  3. Step 3: Cross multiply
    6,490.72x = 9,721.44 × 4,551.60
  4. Step 4: Simplify right side
    6,490.72x = 44,248,106.30
  5. Step 5: Solve for x
    x = 44,248,106.30/6,490.72
  6. Step 6: Final answer
    x = 6,817.13

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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.