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Finding the Fourth Proportional to 19,497.29, 29,242.71 and 7,014.98

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Solution

The fourth proportional to 19,497.29, 29,242.71 and 7,014.98 is: 10,521.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,497.29 : 29,242.71 = 7,014.98 : x
  2. Step 2: Convert to fraction form
    19,497.29/29,242.71 = 7,014.98/x
  3. Step 3: Cross multiply
    19,497.29x = 29,242.71 × 7,014.98
  4. Step 4: Simplify right side
    19,497.29x = 205,137,098.90
  5. Step 5: Solve for x
    x = 205,137,098.90/19,497.29
  6. Step 6: Final answer
    x = 10,521.32

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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.