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Finding the Fourth Proportional to 9,847.93, 13,595.16 and 7,604.77

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Solution

The fourth proportional to 9,847.93, 13,595.16 and 7,604.77 is: 10,498.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.93 : 13,595.16 = 7,604.77 : x
  2. Step 2: Convert to fraction form
    9,847.93/13,595.16 = 7,604.77/x
  3. Step 3: Cross multiply
    9,847.93x = 13,595.16 × 7,604.77
  4. Step 4: Simplify right side
    9,847.93x = 103,388,064.91
  5. Step 5: Solve for x
    x = 103,388,064.91/9,847.93
  6. Step 6: Final answer
    x = 10,498.46

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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.