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Finding the Fourth Proportional to 6,503.44, 9,735.96 and 6,417.04

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Solution

The fourth proportional to 6,503.44, 9,735.96 and 6,417.04 is: 9,606.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.44 : 9,735.96 = 6,417.04 : x
  2. Step 2: Convert to fraction form
    6,503.44/9,735.96 = 6,417.04/x
  3. Step 3: Cross multiply
    6,503.44x = 9,735.96 × 6,417.04
  4. Step 4: Simplify right side
    6,503.44x = 62,476,044.76
  5. Step 5: Solve for x
    x = 62,476,044.76/6,503.44
  6. Step 6: Final answer
    x = 9,606.62

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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.