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Finding the Fourth Proportional to 13,712.76, 18,923.95 and 8,410.50

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Solution

The fourth proportional to 13,712.76, 18,923.95 and 8,410.50 is: 11,606.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.76 : 18,923.95 = 8,410.50 : x
  2. Step 2: Convert to fraction form
    13,712.76/18,923.95 = 8,410.50/x
  3. Step 3: Cross multiply
    13,712.76x = 18,923.95 × 8,410.50
  4. Step 4: Simplify right side
    13,712.76x = 159,159,881.48
  5. Step 5: Solve for x
    x = 159,159,881.48/13,712.76
  6. Step 6: Final answer
    x = 11,606.70

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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.