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Finding the Fourth Proportional to 7,735.71, 10,675.08 and 4,549.05

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Solution

The fourth proportional to 7,735.71, 10,675.08 and 4,549.05 is: 6,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.71 : 10,675.08 = 4,549.05 : x
  2. Step 2: Convert to fraction form
    7,735.71/10,675.08 = 4,549.05/x
  3. Step 3: Cross multiply
    7,735.71x = 10,675.08 × 4,549.05
  4. Step 4: Simplify right side
    7,735.71x = 48,561,472.67
  5. Step 5: Solve for x
    x = 48,561,472.67/7,735.71
  6. Step 6: Final answer
    x = 6,277.57

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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.