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Finding the Fourth Proportional to 13,048.68, 19,575.36 and 6,123

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Solution

The fourth proportional to 13,048.68, 19,575.36 and 6,123 is: 9,185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,048.68 : 19,575.36 = 6,123 : x
  2. Step 2: Convert to fraction form
    13,048.68/19,575.36 = 6,123/x
  3. Step 3: Cross multiply
    13,048.68x = 19,575.36 × 6,123
  4. Step 4: Simplify right side
    13,048.68x = 119,859,929.28
  5. Step 5: Solve for x
    x = 119,859,929.28/13,048.68
  6. Step 6: Final answer
    x = 9,185.60

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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.