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Finding the Fourth Proportional to 12,950.55, 19,412.75 and 5,048.13

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Solution

The fourth proportional to 12,950.55, 19,412.75 and 5,048.13 is: 7,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.55 : 19,412.75 = 5,048.13 : x
  2. Step 2: Convert to fraction form
    12,950.55/19,412.75 = 5,048.13/x
  3. Step 3: Cross multiply
    12,950.55x = 19,412.75 × 5,048.13
  4. Step 4: Simplify right side
    12,950.55x = 97,997,963.35
  5. Step 5: Solve for x
    x = 97,997,963.35/12,950.55
  6. Step 6: Final answer
    x = 7,567.09

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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.