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Finding the Fourth Proportional to 13,011.60, 17,951.54 and 7,345.65

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Solution

The fourth proportional to 13,011.60, 17,951.54 and 7,345.65 is: 10,134.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.60 : 17,951.54 = 7,345.65 : x
  2. Step 2: Convert to fraction form
    13,011.60/17,951.54 = 7,345.65/x
  3. Step 3: Cross multiply
    13,011.60x = 17,951.54 × 7,345.65
  4. Step 4: Simplify right side
    13,011.60x = 131,865,729.80
  5. Step 5: Solve for x
    x = 131,865,729.80/13,011.60
  6. Step 6: Final answer
    x = 10,134.47

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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.