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Finding the Fourth Proportional to 12,192.53, 18,284.54 and 4,293

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Solution

The fourth proportional to 12,192.53, 18,284.54 and 4,293 is: 6,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,192.53 : 18,284.54 = 4,293 : x
  2. Step 2: Convert to fraction form
    12,192.53/18,284.54 = 4,293/x
  3. Step 3: Cross multiply
    12,192.53x = 18,284.54 × 4,293
  4. Step 4: Simplify right side
    12,192.53x = 78,495,508.76
  5. Step 5: Solve for x
    x = 78,495,508.76/12,192.53
  6. Step 6: Final answer
    x = 6,438.00

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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.