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Finding the Fourth Proportional to 9,682.71, 13,368.48 and 6,707.67

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Solution

The fourth proportional to 9,682.71, 13,368.48 and 6,707.67 is: 9,260.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.71 : 13,368.48 = 6,707.67 : x
  2. Step 2: Convert to fraction form
    9,682.71/13,368.48 = 6,707.67/x
  3. Step 3: Cross multiply
    9,682.71x = 13,368.48 × 6,707.67
  4. Step 4: Simplify right side
    9,682.71x = 89,671,352.24
  5. Step 5: Solve for x
    x = 89,671,352.24/9,682.71
  6. Step 6: Final answer
    x = 9,260.98

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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.