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Finding the Fourth Proportional to 30,863.84, 46,306.08 and 9,807.48

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Solution

The fourth proportional to 30,863.84, 46,306.08 and 9,807.48 is: 14,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,863.84 : 46,306.08 = 9,807.48 : x
  2. Step 2: Convert to fraction form
    30,863.84/46,306.08 = 9,807.48/x
  3. Step 3: Cross multiply
    30,863.84x = 46,306.08 × 9,807.48
  4. Step 4: Simplify right side
    30,863.84x = 454,145,953.48
  5. Step 5: Solve for x
    x = 454,145,953.48/30,863.84
  6. Step 6: Final answer
    x = 14,714.50

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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.