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Finding the Fourth Proportional to 9,509.92, 14,264.92 and 6,243.68

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Solution

The fourth proportional to 9,509.92, 14,264.92 and 6,243.68 is: 9,365.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.92 : 14,264.92 = 6,243.68 : x
  2. Step 2: Convert to fraction form
    9,509.92/14,264.92 = 6,243.68/x
  3. Step 3: Cross multiply
    9,509.92x = 14,264.92 × 6,243.68
  4. Step 4: Simplify right side
    9,509.92x = 89,065,595.71
  5. Step 5: Solve for x
    x = 89,065,595.71/9,509.92
  6. Step 6: Final answer
    x = 9,365.55

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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.