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Finding the Fourth Proportional to 6,932.52, 9,547.44 and 6,487.82

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Solution

The fourth proportional to 6,932.52, 9,547.44 and 6,487.82 is: 8,935.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.52 : 9,547.44 = 6,487.82 : x
  2. Step 2: Convert to fraction form
    6,932.52/9,547.44 = 6,487.82/x
  3. Step 3: Cross multiply
    6,932.52x = 9,547.44 × 6,487.82
  4. Step 4: Simplify right side
    6,932.52x = 61,942,072.18
  5. Step 5: Solve for x
    x = 61,942,072.18/6,932.52
  6. Step 6: Final answer
    x = 8,935.00

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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.