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Finding the Fourth Proportional to 7,675.29, 10,596.42 and 7,232.42

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Solution

The fourth proportional to 7,675.29, 10,596.42 and 7,232.42 is: 9,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675.29 : 10,596.42 = 7,232.42 : x
  2. Step 2: Convert to fraction form
    7,675.29/10,596.42 = 7,232.42/x
  3. Step 3: Cross multiply
    7,675.29x = 10,596.42 × 7,232.42
  4. Step 4: Simplify right side
    7,675.29x = 76,637,786.43
  5. Step 5: Solve for x
    x = 76,637,786.43/7,675.29
  6. Step 6: Final answer
    x = 9,985.00

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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.