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Finding the Fourth Proportional to 14,322.76, 19,765.56 and 8,035

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Solution

The fourth proportional to 14,322.76, 19,765.56 and 8,035 is: 11,088.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.76 : 19,765.56 = 8,035 : x
  2. Step 2: Convert to fraction form
    14,322.76/19,765.56 = 8,035/x
  3. Step 3: Cross multiply
    14,322.76x = 19,765.56 × 8,035
  4. Step 4: Simplify right side
    14,322.76x = 158,816,274.60
  5. Step 5: Solve for x
    x = 158,816,274.60/14,322.76
  6. Step 6: Final answer
    x = 11,088.38

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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.