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Finding the Fourth Proportional to 10,035.60, 15,059.16 and 7,838.16

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Solution

The fourth proportional to 10,035.60, 15,059.16 and 7,838.16 is: 11,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.60 : 15,059.16 = 7,838.16 : x
  2. Step 2: Convert to fraction form
    10,035.60/15,059.16 = 7,838.16/x
  3. Step 3: Cross multiply
    10,035.60x = 15,059.16 × 7,838.16
  4. Step 4: Simplify right side
    10,035.60x = 118,036,105.55
  5. Step 5: Solve for x
    x = 118,036,105.55/10,035.60
  6. Step 6: Final answer
    x = 11,761.74

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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.