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Finding the Fourth Proportional to 9,659.74, 13,332.16 and 7,014.84

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Solution

The fourth proportional to 9,659.74, 13,332.16 and 7,014.84 is: 9,681.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.74 : 13,332.16 = 7,014.84 : x
  2. Step 2: Convert to fraction form
    9,659.74/13,332.16 = 7,014.84/x
  3. Step 3: Cross multiply
    9,659.74x = 13,332.16 × 7,014.84
  4. Step 4: Simplify right side
    9,659.74x = 93,522,969.25
  5. Step 5: Solve for x
    x = 93,522,969.25/9,659.74
  6. Step 6: Final answer
    x = 9,681.73

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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.