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Finding the Fourth Proportional to 11,953.16, 17,924.17 and 4,553

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Solution

The fourth proportional to 11,953.16, 17,924.17 and 4,553 is: 6,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.16 : 17,924.17 = 4,553 : x
  2. Step 2: Convert to fraction form
    11,953.16/17,924.17 = 4,553/x
  3. Step 3: Cross multiply
    11,953.16x = 17,924.17 × 4,553
  4. Step 4: Simplify right side
    11,953.16x = 81,608,746.01
  5. Step 5: Solve for x
    x = 81,608,746.01/11,953.16
  6. Step 6: Final answer
    x = 6,827.38

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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.