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Finding the Fourth Proportional to 7,756.31, 10,710.16 and 7,193.50

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Solution

The fourth proportional to 7,756.31, 10,710.16 and 7,193.50 is: 9,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.31 : 10,710.16 = 7,193.50 : x
  2. Step 2: Convert to fraction form
    7,756.31/10,710.16 = 7,193.50/x
  3. Step 3: Cross multiply
    7,756.31x = 10,710.16 × 7,193.50
  4. Step 4: Simplify right side
    7,756.31x = 77,043,535.96
  5. Step 5: Solve for x
    x = 77,043,535.96/7,756.31
  6. Step 6: Final answer
    x = 9,933.01

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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.