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Finding the Fourth Proportional to 9,765, 13,476.42 and 6,039.72

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Solution

The fourth proportional to 9,765, 13,476.42 and 6,039.72 is: 8,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765 : 13,476.42 = 6,039.72 : x
  2. Step 2: Convert to fraction form
    9,765/13,476.42 = 6,039.72/x
  3. Step 3: Cross multiply
    9,765x = 13,476.42 × 6,039.72
  4. Step 4: Simplify right side
    9,765x = 81,393,803.40
  5. Step 5: Solve for x
    x = 81,393,803.40/9,765
  6. Step 6: Final answer
    x = 8,335.26

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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.