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Finding the Fourth Proportional to 6,588.26, 9,867.78 and 4,733.82

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Solution

The fourth proportional to 6,588.26, 9,867.78 and 4,733.82 is: 7,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.26 : 9,867.78 = 4,733.82 : x
  2. Step 2: Convert to fraction form
    6,588.26/9,867.78 = 4,733.82/x
  3. Step 3: Cross multiply
    6,588.26x = 9,867.78 × 4,733.82
  4. Step 4: Simplify right side
    6,588.26x = 46,712,294.32
  5. Step 5: Solve for x
    x = 46,712,294.32/6,588.26
  6. Step 6: Final answer
    x = 7,090.23

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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.