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Finding the Fourth Proportional to 9,775.84, 14,667 and 6,501.82

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Solution

The fourth proportional to 9,775.84, 14,667 and 6,501.82 is: 9,754.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.84 : 14,667 = 6,501.82 : x
  2. Step 2: Convert to fraction form
    9,775.84/14,667 = 6,501.82/x
  3. Step 3: Cross multiply
    9,775.84x = 14,667 × 6,501.82
  4. Step 4: Simplify right side
    9,775.84x = 95,362,193.94
  5. Step 5: Solve for x
    x = 95,362,193.94/9,775.84
  6. Step 6: Final answer
    x = 9,754.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.