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Finding the Fourth Proportional to 7,607.64, 10,505.80 and 7,193.50

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Solution

The fourth proportional to 7,607.64, 10,505.80 and 7,193.50 is: 9,933.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.64 : 10,505.80 = 7,193.50 : x
  2. Step 2: Convert to fraction form
    7,607.64/10,505.80 = 7,193.50/x
  3. Step 3: Cross multiply
    7,607.64x = 10,505.80 × 7,193.50
  4. Step 4: Simplify right side
    7,607.64x = 75,573,472.30
  5. Step 5: Solve for x
    x = 75,573,472.30/7,607.64
  6. Step 6: Final answer
    x = 9,933.89

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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.