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Finding the Fourth Proportional to 30,834.32, 46,243.08 and 8,646.32

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Solution

The fourth proportional to 30,834.32, 46,243.08 and 8,646.32 is: 12,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,834.32 : 46,243.08 = 8,646.32 : x
  2. Step 2: Convert to fraction form
    30,834.32/46,243.08 = 8,646.32/x
  3. Step 3: Cross multiply
    30,834.32x = 46,243.08 × 8,646.32
  4. Step 4: Simplify right side
    30,834.32x = 399,832,467.47
  5. Step 5: Solve for x
    x = 399,832,467.47/30,834.32
  6. Step 6: Final answer
    x = 12,967.12

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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.