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Finding the Fourth Proportional to 9,765, 13,475.70 and 5,573.34

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Solution

The fourth proportional to 9,765, 13,475.70 and 5,573.34 is: 7,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765 : 13,475.70 = 5,573.34 : x
  2. Step 2: Convert to fraction form
    9,765/13,475.70 = 5,573.34/x
  3. Step 3: Cross multiply
    9,765x = 13,475.70 × 5,573.34
  4. Step 4: Simplify right side
    9,765x = 75,104,657.84
  5. Step 5: Solve for x
    x = 75,104,657.84/9,765
  6. Step 6: Final answer
    x = 7,691.21

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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.