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Finding the Fourth Proportional to 10,546.70, 15,787.10 and 7,039.58

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Solution

The fourth proportional to 10,546.70, 15,787.10 and 7,039.58 is: 10,537.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,546.70 : 15,787.10 = 7,039.58 : x
  2. Step 2: Convert to fraction form
    10,546.70/15,787.10 = 7,039.58/x
  3. Step 3: Cross multiply
    10,546.70x = 15,787.10 × 7,039.58
  4. Step 4: Simplify right side
    10,546.70x = 111,134,492.08
  5. Step 5: Solve for x
    x = 111,134,492.08/10,546.70
  6. Step 6: Final answer
    x = 10,537.38

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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.