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Finding the Fourth Proportional to 13,810.50, 19,058.49 and 7,523.01

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Solution

The fourth proportional to 13,810.50, 19,058.49 and 7,523.01 is: 10,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.50 : 19,058.49 = 7,523.01 : x
  2. Step 2: Convert to fraction form
    13,810.50/19,058.49 = 7,523.01/x
  3. Step 3: Cross multiply
    13,810.50x = 19,058.49 × 7,523.01
  4. Step 4: Simplify right side
    13,810.50x = 143,377,210.85
  5. Step 5: Solve for x
    x = 143,377,210.85/13,810.50
  6. Step 6: Final answer
    x = 10,381.75

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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.