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Finding the Fourth Proportional to 30,482.84, 45,726.51 and 8,297.93

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Solution

The fourth proportional to 30,482.84, 45,726.51 and 8,297.93 is: 12,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,482.84 : 45,726.51 = 8,297.93 : x
  2. Step 2: Convert to fraction form
    30,482.84/45,726.51 = 8,297.93/x
  3. Step 3: Cross multiply
    30,482.84x = 45,726.51 × 8,297.93
  4. Step 4: Simplify right side
    30,482.84x = 379,435,379.12
  5. Step 5: Solve for x
    x = 379,435,379.12/30,482.84
  6. Step 6: Final answer
    x = 12,447.51

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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.