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Finding the Fourth Proportional to 19,603.68, 29,364.86 and 9,578.16

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Solution

The fourth proportional to 19,603.68, 29,364.86 and 9,578.16 is: 14,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,603.68 : 29,364.86 = 9,578.16 : x
  2. Step 2: Convert to fraction form
    19,603.68/29,364.86 = 9,578.16/x
  3. Step 3: Cross multiply
    19,603.68x = 29,364.86 × 9,578.16
  4. Step 4: Simplify right side
    19,603.68x = 281,261,279.57
  5. Step 5: Solve for x
    x = 281,261,279.57/19,603.68
  6. Step 6: Final answer
    x = 14,347.37

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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.