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Finding the Fourth Proportional to 25,527.29, 38,290.93 and 7,758.09

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Solution

The fourth proportional to 25,527.29, 38,290.93 and 7,758.09 is: 11,637.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.29 : 38,290.93 = 7,758.09 : x
  2. Step 2: Convert to fraction form
    25,527.29/38,290.93 = 7,758.09/x
  3. Step 3: Cross multiply
    25,527.29x = 38,290.93 × 7,758.09
  4. Step 4: Simplify right side
    25,527.29x = 297,064,652.27
  5. Step 5: Solve for x
    x = 297,064,652.27/25,527.29
  6. Step 6: Final answer
    x = 11,637.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.