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Finding the Fourth Proportional to 10,035.53, 15,047.81 and 7,968.81

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Solution

The fourth proportional to 10,035.53, 15,047.81 and 7,968.81 is: 11,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.53 : 15,047.81 = 7,968.81 : x
  2. Step 2: Convert to fraction form
    10,035.53/15,047.81 = 7,968.81/x
  3. Step 3: Cross multiply
    10,035.53x = 15,047.81 × 7,968.81
  4. Step 4: Simplify right side
    10,035.53x = 119,913,138.81
  5. Step 5: Solve for x
    x = 119,913,138.81/10,035.53
  6. Step 6: Final answer
    x = 11,948.86

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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.