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Finding the Fourth Proportional to 13,424.99, 18,527.06 and 7,457.22

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Solution

The fourth proportional to 13,424.99, 18,527.06 and 7,457.22 is: 10,291.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,424.99 : 18,527.06 = 7,457.22 : x
  2. Step 2: Convert to fraction form
    13,424.99/18,527.06 = 7,457.22/x
  3. Step 3: Cross multiply
    13,424.99x = 18,527.06 × 7,457.22
  4. Step 4: Simplify right side
    13,424.99x = 138,160,381.02
  5. Step 5: Solve for x
    x = 138,160,381.02/13,424.99
  6. Step 6: Final answer
    x = 10,291.29

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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.