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Finding the Fourth Proportional to 10,783.74, 16,159.14 and 7,260.74

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Solution

The fourth proportional to 10,783.74, 16,159.14 and 7,260.74 is: 10,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,783.74 : 16,159.14 = 7,260.74 : x
  2. Step 2: Convert to fraction form
    10,783.74/16,159.14 = 7,260.74/x
  3. Step 3: Cross multiply
    10,783.74x = 16,159.14 × 7,260.74
  4. Step 4: Simplify right side
    10,783.74x = 117,327,233.37
  5. Step 5: Solve for x
    x = 117,327,233.37/10,783.74
  6. Step 6: Final answer
    x = 10,880.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.