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Finding the Fourth Proportional to 6,596.07, 9,106.81 and 5,886.68

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Solution

The fourth proportional to 6,596.07, 9,106.81 and 5,886.68 is: 8,127.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596.07 : 9,106.81 = 5,886.68 : x
  2. Step 2: Convert to fraction form
    6,596.07/9,106.81 = 5,886.68/x
  3. Step 3: Cross multiply
    6,596.07x = 9,106.81 × 5,886.68
  4. Step 4: Simplify right side
    6,596.07x = 53,608,876.29
  5. Step 5: Solve for x
    x = 53,608,876.29/6,596.07
  6. Step 6: Final answer
    x = 8,127.40

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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.