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Finding the Fourth Proportional to 16,583.16, 24,883.38 and 7,347

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Solution

The fourth proportional to 16,583.16, 24,883.38 and 7,347 is: 11,024.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583.16 : 24,883.38 = 7,347 : x
  2. Step 2: Convert to fraction form
    16,583.16/24,883.38 = 7,347/x
  3. Step 3: Cross multiply
    16,583.16x = 24,883.38 × 7,347
  4. Step 4: Simplify right side
    16,583.16x = 182,818,192.86
  5. Step 5: Solve for x
    x = 182,818,192.86/16,583.16
  6. Step 6: Final answer
    x = 11,024.33

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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.