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Finding the Fourth Proportional to 9,695.79, 13,366.08 and 7,707.15

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Solution

The fourth proportional to 9,695.79, 13,366.08 and 7,707.15 is: 10,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.79 : 13,366.08 = 7,707.15 : x
  2. Step 2: Convert to fraction form
    9,695.79/13,366.08 = 7,707.15/x
  3. Step 3: Cross multiply
    9,695.79x = 13,366.08 × 7,707.15
  4. Step 4: Simplify right side
    9,695.79x = 103,014,383.47
  5. Step 5: Solve for x
    x = 103,014,383.47/9,695.79
  6. Step 6: Final answer
    x = 10,624.65

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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.