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Finding the Fourth Proportional to 11,334.60, 15,642 and 6,857.46

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Solution

The fourth proportional to 11,334.60, 15,642 and 6,857.46 is: 9,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.60 : 15,642 = 6,857.46 : x
  2. Step 2: Convert to fraction form
    11,334.60/15,642 = 6,857.46/x
  3. Step 3: Cross multiply
    11,334.60x = 15,642 × 6,857.46
  4. Step 4: Simplify right side
    11,334.60x = 107,264,389.32
  5. Step 5: Solve for x
    x = 107,264,389.32/11,334.60
  6. Step 6: Final answer
    x = 9,463.45

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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.