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Finding the Fourth Proportional to 6,588.68, 9,875.90 and 3,295.24

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Solution

The fourth proportional to 6,588.68, 9,875.90 and 3,295.24 is: 4,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.68 : 9,875.90 = 3,295.24 : x
  2. Step 2: Convert to fraction form
    6,588.68/9,875.90 = 3,295.24/x
  3. Step 3: Cross multiply
    6,588.68x = 9,875.90 × 3,295.24
  4. Step 4: Simplify right side
    6,588.68x = 32,543,460.72
  5. Step 5: Solve for x
    x = 32,543,460.72/6,588.68
  6. Step 6: Final answer
    x = 4,939.30

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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.