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Finding the Fourth Proportional to 6,095.76, 9,143.93 and 1,713.66

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Solution

The fourth proportional to 6,095.76, 9,143.93 and 1,713.66 is: 2,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.76 : 9,143.93 = 1,713.66 : x
  2. Step 2: Convert to fraction form
    6,095.76/9,143.93 = 1,713.66/x
  3. Step 3: Cross multiply
    6,095.76x = 9,143.93 × 1,713.66
  4. Step 4: Simplify right side
    6,095.76x = 15,669,587.08
  5. Step 5: Solve for x
    x = 15,669,587.08/6,095.76
  6. Step 6: Final answer
    x = 2,570.57

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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.