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Finding the Fourth Proportional to 9,783.68, 14,680.78 and 6,498.32

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Solution

The fourth proportional to 9,783.68, 14,680.78 and 6,498.32 is: 9,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.68 : 14,680.78 = 6,498.32 : x
  2. Step 2: Convert to fraction form
    9,783.68/14,680.78 = 6,498.32/x
  3. Step 3: Cross multiply
    9,783.68x = 14,680.78 × 6,498.32
  4. Step 4: Simplify right side
    9,783.68x = 95,400,406.29
  5. Step 5: Solve for x
    x = 95,400,406.29/9,783.68
  6. Step 6: Final answer
    x = 9,750.97

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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.