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Finding the Fourth Proportional to 9,846.68, 13,588.74 and 5,370.68

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Solution

The fourth proportional to 9,846.68, 13,588.74 and 5,370.68 is: 7,411.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.68 : 13,588.74 = 5,370.68 : x
  2. Step 2: Convert to fraction form
    9,846.68/13,588.74 = 5,370.68/x
  3. Step 3: Cross multiply
    9,846.68x = 13,588.74 × 5,370.68
  4. Step 4: Simplify right side
    9,846.68x = 72,980,706.20
  5. Step 5: Solve for x
    x = 72,980,706.20/9,846.68
  6. Step 6: Final answer
    x = 7,411.71

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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.