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Finding the Fourth Proportional to 13,262.74, 19,894.12 and 7,416.16

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Solution

The fourth proportional to 13,262.74, 19,894.12 and 7,416.16 is: 11,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.74 : 19,894.12 = 7,416.16 : x
  2. Step 2: Convert to fraction form
    13,262.74/19,894.12 = 7,416.16/x
  3. Step 3: Cross multiply
    13,262.74x = 19,894.12 × 7,416.16
  4. Step 4: Simplify right side
    13,262.74x = 147,537,976.98
  5. Step 5: Solve for x
    x = 147,537,976.98/13,262.74
  6. Step 6: Final answer
    x = 11,124.25

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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.