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Finding the Fourth Proportional to 10,497.82, 14,487.10 and 5,782.22

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Solution

The fourth proportional to 10,497.82, 14,487.10 and 5,782.22 is: 7,979.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.82 : 14,487.10 = 5,782.22 : x
  2. Step 2: Convert to fraction form
    10,497.82/14,487.10 = 5,782.22/x
  3. Step 3: Cross multiply
    10,497.82x = 14,487.10 × 5,782.22
  4. Step 4: Simplify right side
    10,497.82x = 83,767,599.36
  5. Step 5: Solve for x
    x = 83,767,599.36/10,497.82
  6. Step 6: Final answer
    x = 7,979.52

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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.