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Finding the Fourth Proportional to 9,846.66, 13,590.81 and 7,605.12

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Solution

The fourth proportional to 9,846.66, 13,590.81 and 7,605.12 is: 10,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.66 : 13,590.81 = 7,605.12 : x
  2. Step 2: Convert to fraction form
    9,846.66/13,590.81 = 7,605.12/x
  3. Step 3: Cross multiply
    9,846.66x = 13,590.81 × 7,605.12
  4. Step 4: Simplify right side
    9,846.66x = 103,359,740.95
  5. Step 5: Solve for x
    x = 103,359,740.95/9,846.66
  6. Step 6: Final answer
    x = 10,496.93

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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.