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Finding the Fourth Proportional to 12,535.65, 17,299.55 and 6,946.65

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Solution

The fourth proportional to 12,535.65, 17,299.55 and 6,946.65 is: 9,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.65 : 17,299.55 = 6,946.65 : x
  2. Step 2: Convert to fraction form
    12,535.65/17,299.55 = 6,946.65/x
  3. Step 3: Cross multiply
    12,535.65x = 17,299.55 × 6,946.65
  4. Step 4: Simplify right side
    12,535.65x = 120,173,884.27
  5. Step 5: Solve for x
    x = 120,173,884.27/12,535.65
  6. Step 6: Final answer
    x = 9,586.57

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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.