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Finding the Fourth Proportional to 9,751.84, 14,631 and 6,477.82

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Solution

The fourth proportional to 9,751.84, 14,631 and 6,477.82 is: 9,718.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.84 : 14,631 = 6,477.82 : x
  2. Step 2: Convert to fraction form
    9,751.84/14,631 = 6,477.82/x
  3. Step 3: Cross multiply
    9,751.84x = 14,631 × 6,477.82
  4. Step 4: Simplify right side
    9,751.84x = 94,776,984.42
  5. Step 5: Solve for x
    x = 94,776,984.42/9,751.84
  6. Step 6: Final answer
    x = 9,718.88

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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.