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Finding the Fourth Proportional to 14,101.49, 19,457.59 and 8,048.97

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Solution

The fourth proportional to 14,101.49, 19,457.59 and 8,048.97 is: 11,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.49 : 19,457.59 = 8,048.97 : x
  2. Step 2: Convert to fraction form
    14,101.49/19,457.59 = 8,048.97/x
  3. Step 3: Cross multiply
    14,101.49x = 19,457.59 × 8,048.97
  4. Step 4: Simplify right side
    14,101.49x = 156,613,420.65
  5. Step 5: Solve for x
    x = 156,613,420.65/14,101.49
  6. Step 6: Final answer
    x = 11,106.16

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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.