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Finding the Fourth Proportional to 11,599.52, 17,384.16 and 4,670.24

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Solution

The fourth proportional to 11,599.52, 17,384.16 and 4,670.24 is: 6,999.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.52 : 17,384.16 = 4,670.24 : x
  2. Step 2: Convert to fraction form
    11,599.52/17,384.16 = 4,670.24/x
  3. Step 3: Cross multiply
    11,599.52x = 17,384.16 × 4,670.24
  4. Step 4: Simplify right side
    11,599.52x = 81,188,199.40
  5. Step 5: Solve for x
    x = 81,188,199.40/11,599.52
  6. Step 6: Final answer
    x = 6,999.27

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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.