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Finding the Fourth Proportional to 16,627.77, 22,946.76 and 9,458.91

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Solution

The fourth proportional to 16,627.77, 22,946.76 and 9,458.91 is: 13,053.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,627.77 : 22,946.76 = 9,458.91 : x
  2. Step 2: Convert to fraction form
    16,627.77/22,946.76 = 9,458.91/x
  3. Step 3: Cross multiply
    16,627.77x = 22,946.76 × 9,458.91
  4. Step 4: Simplify right side
    16,627.77x = 217,051,337.63
  5. Step 5: Solve for x
    x = 217,051,337.63/16,627.77
  6. Step 6: Final answer
    x = 13,053.54

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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.