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Finding the Fourth Proportional to 6,513.65, 9,770.48 and 4,574.51

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Solution

The fourth proportional to 6,513.65, 9,770.48 and 4,574.51 is: 6,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.65 : 9,770.48 = 4,574.51 : x
  2. Step 2: Convert to fraction form
    6,513.65/9,770.48 = 4,574.51/x
  3. Step 3: Cross multiply
    6,513.65x = 9,770.48 × 4,574.51
  4. Step 4: Simplify right side
    6,513.65x = 44,695,194.33
  5. Step 5: Solve for x
    x = 44,695,194.33/6,513.65
  6. Step 6: Final answer
    x = 6,861.77

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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.