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Finding the Fourth Proportional to 13,810.96, 19,058.76 and 7,522.96

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Solution

The fourth proportional to 13,810.96, 19,058.76 and 7,522.96 is: 10,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.96 : 19,058.76 = 7,522.96 : x
  2. Step 2: Convert to fraction form
    13,810.96/19,058.76 = 7,522.96/x
  3. Step 3: Cross multiply
    13,810.96x = 19,058.76 × 7,522.96
  4. Step 4: Simplify right side
    13,810.96x = 143,378,289.13
  5. Step 5: Solve for x
    x = 143,378,289.13/13,810.96
  6. Step 6: Final answer
    x = 10,381.49

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Double scale
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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.