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Finding the Fourth Proportional to 12,019.34, 16,594 and 8,248.70

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Solution

The fourth proportional to 12,019.34, 16,594 and 8,248.70 is: 11,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,019.34 : 16,594 = 8,248.70 : x
  2. Step 2: Convert to fraction form
    12,019.34/16,594 = 8,248.70/x
  3. Step 3: Cross multiply
    12,019.34x = 16,594 × 8,248.70
  4. Step 4: Simplify right side
    12,019.34x = 136,878,927.80
  5. Step 5: Solve for x
    x = 136,878,927.80/12,019.34
  6. Step 6: Final answer
    x = 11,388.22

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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.