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Finding the Fourth Proportional to 9,641.92, 14,461.44 and 3,802.48

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Solution

The fourth proportional to 9,641.92, 14,461.44 and 3,802.48 is: 5,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.92 : 14,461.44 = 3,802.48 : x
  2. Step 2: Convert to fraction form
    9,641.92/14,461.44 = 3,802.48/x
  3. Step 3: Cross multiply
    9,641.92x = 14,461.44 × 3,802.48
  4. Step 4: Simplify right side
    9,641.92x = 54,989,336.37
  5. Step 5: Solve for x
    x = 54,989,336.37/9,641.92
  6. Step 6: Final answer
    x = 5,703.15

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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.