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Finding the Fourth Proportional to 30,667.40, 46,001.09 and 9,607.61

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Solution

The fourth proportional to 30,667.40, 46,001.09 and 9,607.61 is: 14,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,667.40 : 46,001.09 = 9,607.61 : x
  2. Step 2: Convert to fraction form
    30,667.40/46,001.09 = 9,607.61/x
  3. Step 3: Cross multiply
    30,667.40x = 46,001.09 × 9,607.61
  4. Step 4: Simplify right side
    30,667.40x = 441,960,254.25
  5. Step 5: Solve for x
    x = 441,960,254.25/30,667.40
  6. Step 6: Final answer
    x = 14,411.41

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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.