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Finding the Fourth Proportional to 7,735.29, 10,669.89 and 4,748.21

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Solution

The fourth proportional to 7,735.29, 10,669.89 and 4,748.21 is: 6,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.29 : 10,669.89 = 4,748.21 : x
  2. Step 2: Convert to fraction form
    7,735.29/10,669.89 = 4,748.21/x
  3. Step 3: Cross multiply
    7,735.29x = 10,669.89 × 4,748.21
  4. Step 4: Simplify right side
    7,735.29x = 50,662,878.40
  5. Step 5: Solve for x
    x = 50,662,878.40/7,735.29
  6. Step 6: Final answer
    x = 6,549.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.