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Finding the Fourth Proportional to 30,646.80, 45,969.29 and 8,461.53

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Solution

The fourth proportional to 30,646.80, 45,969.29 and 8,461.53 is: 12,692.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.80 : 45,969.29 = 8,461.53 : x
  2. Step 2: Convert to fraction form
    30,646.80/45,969.29 = 8,461.53/x
  3. Step 3: Cross multiply
    30,646.80x = 45,969.29 × 8,461.53
  4. Step 4: Simplify right side
    30,646.80x = 388,970,484.11
  5. Step 5: Solve for x
    x = 388,970,484.11/30,646.80
  6. Step 6: Final answer
    x = 12,692.04

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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.