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Finding the Fourth Proportional to 9,934.14, 13,708.71 and 5,457.67

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Solution

The fourth proportional to 9,934.14, 13,708.71 and 5,457.67 is: 7,531.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.14 : 13,708.71 = 5,457.67 : x
  2. Step 2: Convert to fraction form
    9,934.14/13,708.71 = 5,457.67/x
  3. Step 3: Cross multiply
    9,934.14x = 13,708.71 × 5,457.67
  4. Step 4: Simplify right side
    9,934.14x = 74,817,615.31
  5. Step 5: Solve for x
    x = 74,817,615.31/9,934.14
  6. Step 6: Final answer
    x = 7,531.36

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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.