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Finding the Fourth Proportional to 30,672.49, 46,008.68 and 9,614.16

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Solution

The fourth proportional to 30,672.49, 46,008.68 and 9,614.16 is: 14,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,672.49 : 46,008.68 = 9,614.16 : x
  2. Step 2: Convert to fraction form
    30,672.49/46,008.68 = 9,614.16/x
  3. Step 3: Cross multiply
    30,672.49x = 46,008.68 × 9,614.16
  4. Step 4: Simplify right side
    30,672.49x = 442,334,810.91
  5. Step 5: Solve for x
    x = 442,334,810.91/30,672.49
  6. Step 6: Final answer
    x = 14,421.22

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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.