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Finding the Fourth Proportional to 8,391, 11,580.06 and 4,665.24

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Solution

The fourth proportional to 8,391, 11,580.06 and 4,665.24 is: 6,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,391 : 11,580.06 = 4,665.24 : x
  2. Step 2: Convert to fraction form
    8,391/11,580.06 = 4,665.24/x
  3. Step 3: Cross multiply
    8,391x = 11,580.06 × 4,665.24
  4. Step 4: Simplify right side
    8,391x = 54,023,759.11
  5. Step 5: Solve for x
    x = 54,023,759.11/8,391
  6. Step 6: Final answer
    x = 6,438.30

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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.