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Finding the Fourth Proportional to 11,381.70, 15,698.89 and 7,552.63

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Solution

The fourth proportional to 11,381.70, 15,698.89 and 7,552.63 is: 10,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.70 : 15,698.89 = 7,552.63 : x
  2. Step 2: Convert to fraction form
    11,381.70/15,698.89 = 7,552.63/x
  3. Step 3: Cross multiply
    11,381.70x = 15,698.89 × 7,552.63
  4. Step 4: Simplify right side
    11,381.70x = 118,567,827.10
  5. Step 5: Solve for x
    x = 118,567,827.10/11,381.70
  6. Step 6: Final answer
    x = 10,417.41

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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.