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Finding the Fourth Proportional to 7,907.16, 11,866.53 and 5,832.76

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Solution

The fourth proportional to 7,907.16, 11,866.53 and 5,832.76 is: 8,753.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,907.16 : 11,866.53 = 5,832.76 : x
  2. Step 2: Convert to fraction form
    7,907.16/11,866.53 = 5,832.76/x
  3. Step 3: Cross multiply
    7,907.16x = 11,866.53 × 5,832.76
  4. Step 4: Simplify right side
    7,907.16x = 69,214,586.77
  5. Step 5: Solve for x
    x = 69,214,586.77/7,907.16
  6. Step 6: Final answer
    x = 8,753.40

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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.