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Finding the Fourth Proportional to 9,969.67, 14,948.43 and 6,076.81

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Solution

The fourth proportional to 9,969.67, 14,948.43 and 6,076.81 is: 9,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.67 : 14,948.43 = 6,076.81 : x
  2. Step 2: Convert to fraction form
    9,969.67/14,948.43 = 6,076.81/x
  3. Step 3: Cross multiply
    9,969.67x = 14,948.43 × 6,076.81
  4. Step 4: Simplify right side
    9,969.67x = 90,838,768.91
  5. Step 5: Solve for x
    x = 90,838,768.91/9,969.67
  6. Step 6: Final answer
    x = 9,111.51

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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.