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Finding the Fourth Proportional to 7,141.44, 10,693.70 and 4,927.10

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Solution

The fourth proportional to 7,141.44, 10,693.70 and 4,927.10 is: 7,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.44 : 10,693.70 = 4,927.10 : x
  2. Step 2: Convert to fraction form
    7,141.44/10,693.70 = 4,927.10/x
  3. Step 3: Cross multiply
    7,141.44x = 10,693.70 × 4,927.10
  4. Step 4: Simplify right side
    7,141.44x = 52,688,929.27
  5. Step 5: Solve for x
    x = 52,688,929.27/7,141.44
  6. Step 6: Final answer
    x = 7,377.91

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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.