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Finding the Fourth Proportional to 12,294.74, 18,435.54 and 5,715.20

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Solution

The fourth proportional to 12,294.74, 18,435.54 and 5,715.20 is: 8,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,294.74 : 18,435.54 = 5,715.20 : x
  2. Step 2: Convert to fraction form
    12,294.74/18,435.54 = 5,715.20/x
  3. Step 3: Cross multiply
    12,294.74x = 18,435.54 × 5,715.20
  4. Step 4: Simplify right side
    12,294.74x = 105,362,798.21
  5. Step 5: Solve for x
    x = 105,362,798.21/12,294.74
  6. Step 6: Final answer
    x = 8,569.75

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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.