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Finding the Fourth Proportional to 14,356.99, 19,812.71 and 7,984.16

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Solution

The fourth proportional to 14,356.99, 19,812.71 and 7,984.16 is: 11,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,356.99 : 19,812.71 = 7,984.16 : x
  2. Step 2: Convert to fraction form
    14,356.99/19,812.71 = 7,984.16/x
  3. Step 3: Cross multiply
    14,356.99x = 19,812.71 × 7,984.16
  4. Step 4: Simplify right side
    14,356.99x = 158,187,856.28
  5. Step 5: Solve for x
    x = 158,187,856.28/14,356.99
  6. Step 6: Final answer
    x = 11,018.18

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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.