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Finding the Fourth Proportional to 11,462.70, 15,825.43 and 7,490.46

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Solution

The fourth proportional to 11,462.70, 15,825.43 and 7,490.46 is: 10,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,462.70 : 15,825.43 = 7,490.46 : x
  2. Step 2: Convert to fraction form
    11,462.70/15,825.43 = 7,490.46/x
  3. Step 3: Cross multiply
    11,462.70x = 15,825.43 × 7,490.46
  4. Step 4: Simplify right side
    11,462.70x = 118,539,712.95
  5. Step 5: Solve for x
    x = 118,539,712.95/11,462.70
  6. Step 6: Final answer
    x = 10,341.34

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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.