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Finding the Fourth Proportional to 31,328.98, 46,984.22 and 9,136.40

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Solution

The fourth proportional to 31,328.98, 46,984.22 and 9,136.40 is: 13,701.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.98 : 46,984.22 = 9,136.40 : x
  2. Step 2: Convert to fraction form
    31,328.98/46,984.22 = 9,136.40/x
  3. Step 3: Cross multiply
    31,328.98x = 46,984.22 × 9,136.40
  4. Step 4: Simplify right side
    31,328.98x = 429,266,627.61
  5. Step 5: Solve for x
    x = 429,266,627.61/31,328.98
  6. Step 6: Final answer
    x = 13,701.90

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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.