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Finding the Fourth Proportional to 16,557.07, 22,848.75 and 9,105.07

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Solution

The fourth proportional to 16,557.07, 22,848.75 and 9,105.07 is: 12,564.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,557.07 : 22,848.75 = 9,105.07 : x
  2. Step 2: Convert to fraction form
    16,557.07/22,848.75 = 9,105.07/x
  3. Step 3: Cross multiply
    16,557.07x = 22,848.75 × 9,105.07
  4. Step 4: Simplify right side
    16,557.07x = 208,039,353.92
  5. Step 5: Solve for x
    x = 208,039,353.92/16,557.07
  6. Step 6: Final answer
    x = 12,564.99

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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.