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Finding the Fourth Proportional to 11,657.52, 17,478.99 and 3,864.51

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Solution

The fourth proportional to 11,657.52, 17,478.99 and 3,864.51 is: 5,794.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.52 : 17,478.99 = 3,864.51 : x
  2. Step 2: Convert to fraction form
    11,657.52/17,478.99 = 3,864.51/x
  3. Step 3: Cross multiply
    11,657.52x = 17,478.99 × 3,864.51
  4. Step 4: Simplify right side
    11,657.52x = 67,547,731.64
  5. Step 5: Solve for x
    x = 67,547,731.64/11,657.52
  6. Step 6: Final answer
    x = 5,794.35

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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.