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Finding the Fourth Proportional to 30,973.45, 46,461.94 and 8,785.07

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Solution

The fourth proportional to 30,973.45, 46,461.94 and 8,785.07 is: 13,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.45 : 46,461.94 = 8,785.07 : x
  2. Step 2: Convert to fraction form
    30,973.45/46,461.94 = 8,785.07/x
  3. Step 3: Cross multiply
    30,973.45x = 46,461.94 × 8,785.07
  4. Step 4: Simplify right side
    30,973.45x = 408,171,395.24
  5. Step 5: Solve for x
    x = 408,171,395.24/30,973.45
  6. Step 6: Final answer
    x = 13,178.11

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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.