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Finding the Fourth Proportional to 39,297, 58,956.48 and 13,020.24

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Solution

The fourth proportional to 39,297, 58,956.48 and 13,020.24 is: 19,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,297 : 58,956.48 = 13,020.24 : x
  2. Step 2: Convert to fraction form
    39,297/58,956.48 = 13,020.24/x
  3. Step 3: Cross multiply
    39,297x = 58,956.48 × 13,020.24
  4. Step 4: Simplify right side
    39,297x = 767,627,519.16
  5. Step 5: Solve for x
    x = 767,627,519.16/39,297
  6. Step 6: Final answer
    x = 19,534.00

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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.