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Finding the Fourth Proportional to 9,973.73, 14,948.91 and 6,411.30

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Solution

The fourth proportional to 9,973.73, 14,948.91 and 6,411.30 is: 9,609.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.73 : 14,948.91 = 6,411.30 : x
  2. Step 2: Convert to fraction form
    9,973.73/14,948.91 = 6,411.30/x
  3. Step 3: Cross multiply
    9,973.73x = 14,948.91 × 6,411.30
  4. Step 4: Simplify right side
    9,973.73x = 95,841,946.68
  5. Step 5: Solve for x
    x = 95,841,946.68/9,973.73
  6. Step 6: Final answer
    x = 9,609.44

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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.