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Finding the Fourth Proportional to 7,783.64, 10,741.72 and 4,426.76

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Solution

The fourth proportional to 7,783.64, 10,741.72 and 4,426.76 is: 6,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.64 : 10,741.72 = 4,426.76 : x
  2. Step 2: Convert to fraction form
    7,783.64/10,741.72 = 4,426.76/x
  3. Step 3: Cross multiply
    7,783.64x = 10,741.72 × 4,426.76
  4. Step 4: Simplify right side
    7,783.64x = 47,550,951.65
  5. Step 5: Solve for x
    x = 47,550,951.65/7,783.64
  6. Step 6: Final answer
    x = 6,109.09

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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.