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Finding the Fourth Proportional to 16,594.36, 22,901.88 and 9,523

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Solution

The fourth proportional to 16,594.36, 22,901.88 and 9,523 is: 13,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,594.36 : 22,901.88 = 9,523 : x
  2. Step 2: Convert to fraction form
    16,594.36/22,901.88 = 9,523/x
  3. Step 3: Cross multiply
    16,594.36x = 22,901.88 × 9,523
  4. Step 4: Simplify right side
    16,594.36x = 218,094,603.24
  5. Step 5: Solve for x
    x = 218,094,603.24/16,594.36
  6. Step 6: Final answer
    x = 13,142.69

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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.