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Finding the Fourth Proportional to 11,334.04, 15,636.64 and 8,357

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Solution

The fourth proportional to 11,334.04, 15,636.64 and 8,357 is: 11,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,334.04 : 15,636.64 = 8,357 : x
  2. Step 2: Convert to fraction form
    11,334.04/15,636.64 = 8,357/x
  3. Step 3: Cross multiply
    11,334.04x = 15,636.64 × 8,357
  4. Step 4: Simplify right side
    11,334.04x = 130,675,400.48
  5. Step 5: Solve for x
    x = 130,675,400.48/11,334.04
  6. Step 6: Final answer
    x = 11,529.46

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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.