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Finding the Fourth Proportional to 6,943.64, 9,586.69 and 6,196.31

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Solution

The fourth proportional to 6,943.64, 9,586.69 and 6,196.31 is: 8,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.64 : 9,586.69 = 6,196.31 : x
  2. Step 2: Convert to fraction form
    6,943.64/9,586.69 = 6,196.31/x
  3. Step 3: Cross multiply
    6,943.64x = 9,586.69 × 6,196.31
  4. Step 4: Simplify right side
    6,943.64x = 59,402,075.64
  5. Step 5: Solve for x
    x = 59,402,075.64/6,943.64
  6. Step 6: Final answer
    x = 8,554.90

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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.