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Finding the Fourth Proportional to 7,658.56, 11,476.88 and 4,364.84

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Solution

The fourth proportional to 7,658.56, 11,476.88 and 4,364.84 is: 6,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.56 : 11,476.88 = 4,364.84 : x
  2. Step 2: Convert to fraction form
    7,658.56/11,476.88 = 4,364.84/x
  3. Step 3: Cross multiply
    7,658.56x = 11,476.88 × 4,364.84
  4. Step 4: Simplify right side
    7,658.56x = 50,094,744.90
  5. Step 5: Solve for x
    x = 50,094,744.90/7,658.56
  6. Step 6: Final answer
    x = 6,541.01

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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.