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Finding the Fourth Proportional to 12,307.43, 16,984.09 and 7,002.23

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Solution

The fourth proportional to 12,307.43, 16,984.09 and 7,002.23 is: 9,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.43 : 16,984.09 = 7,002.23 : x
  2. Step 2: Convert to fraction form
    12,307.43/16,984.09 = 7,002.23/x
  3. Step 3: Cross multiply
    12,307.43x = 16,984.09 × 7,002.23
  4. Step 4: Simplify right side
    12,307.43x = 118,926,504.52
  5. Step 5: Solve for x
    x = 118,926,504.52/12,307.43
  6. Step 6: Final answer
    x = 9,662.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.