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Finding the Fourth Proportional to 9,772, 13,487.56 and 6,943.48

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Solution

The fourth proportional to 9,772, 13,487.56 and 6,943.48 is: 9,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772 : 13,487.56 = 6,943.48 : x
  2. Step 2: Convert to fraction form
    9,772/13,487.56 = 6,943.48/x
  3. Step 3: Cross multiply
    9,772x = 13,487.56 × 6,943.48
  4. Step 4: Simplify right side
    9,772x = 93,650,603.11
  5. Step 5: Solve for x
    x = 93,650,603.11/9,772
  6. Step 6: Final answer
    x = 9,583.57

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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.