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Finding the Fourth Proportional to 14,262.48, 19,684.08 and 7,976.16

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Solution

The fourth proportional to 14,262.48, 19,684.08 and 7,976.16 is: 11,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.48 : 19,684.08 = 7,976.16 : x
  2. Step 2: Convert to fraction form
    14,262.48/19,684.08 = 7,976.16/x
  3. Step 3: Cross multiply
    14,262.48x = 19,684.08 × 7,976.16
  4. Step 4: Simplify right side
    14,262.48x = 157,003,371.53
  5. Step 5: Solve for x
    x = 157,003,371.53/14,262.48
  6. Step 6: Final answer
    x = 11,008.14

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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.