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Finding the Fourth Proportional to 19,574.82, 29,362.14 and 5,534.82

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Solution

The fourth proportional to 19,574.82, 29,362.14 and 5,534.82 is: 8,302.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,574.82 : 29,362.14 = 5,534.82 : x
  2. Step 2: Convert to fraction form
    19,574.82/29,362.14 = 5,534.82/x
  3. Step 3: Cross multiply
    19,574.82x = 29,362.14 × 5,534.82
  4. Step 4: Simplify right side
    19,574.82x = 162,514,159.71
  5. Step 5: Solve for x
    x = 162,514,159.71/19,574.82
  6. Step 6: Final answer
    x = 8,302.20

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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.