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Finding the Fourth Proportional to 9,645.70, 13,315.08 and 6,992.60

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Solution

The fourth proportional to 9,645.70, 13,315.08 and 6,992.60 is: 9,652.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.70 : 13,315.08 = 6,992.60 : x
  2. Step 2: Convert to fraction form
    9,645.70/13,315.08 = 6,992.60/x
  3. Step 3: Cross multiply
    9,645.70x = 13,315.08 × 6,992.60
  4. Step 4: Simplify right side
    9,645.70x = 93,106,988.05
  5. Step 5: Solve for x
    x = 93,106,988.05/9,645.70
  6. Step 6: Final answer
    x = 9,652.69

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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.