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Finding the Fourth Proportional to 7,927.67, 10,937.03 and 5,405.74

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Solution

The fourth proportional to 7,927.67, 10,937.03 and 5,405.74 is: 7,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.67 : 10,937.03 = 5,405.74 : x
  2. Step 2: Convert to fraction form
    7,927.67/10,937.03 = 5,405.74/x
  3. Step 3: Cross multiply
    7,927.67x = 10,937.03 × 5,405.74
  4. Step 4: Simplify right side
    7,927.67x = 59,122,686.18
  5. Step 5: Solve for x
    x = 59,122,686.18/7,927.67
  6. Step 6: Final answer
    x = 7,457.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.