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Finding the Fourth Proportional to 13,802.22, 19,047.06 and 7,514.46

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Solution

The fourth proportional to 13,802.22, 19,047.06 and 7,514.46 is: 10,369.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,802.22 : 19,047.06 = 7,514.46 : x
  2. Step 2: Convert to fraction form
    13,802.22/19,047.06 = 7,514.46/x
  3. Step 3: Cross multiply
    13,802.22x = 19,047.06 × 7,514.46
  4. Step 4: Simplify right side
    13,802.22x = 143,128,370.49
  5. Step 5: Solve for x
    x = 143,128,370.49/13,802.22
  6. Step 6: Final answer
    x = 10,369.95

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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.