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Finding the Fourth Proportional to 7,656.84, 10,566.64 and 4,299.92

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Solution

The fourth proportional to 7,656.84, 10,566.64 and 4,299.92 is: 5,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.84 : 10,566.64 = 4,299.92 : x
  2. Step 2: Convert to fraction form
    7,656.84/10,566.64 = 4,299.92/x
  3. Step 3: Cross multiply
    7,656.84x = 10,566.64 × 4,299.92
  4. Step 4: Simplify right side
    7,656.84x = 45,435,706.67
  5. Step 5: Solve for x
    x = 45,435,706.67/7,656.84
  6. Step 6: Final answer
    x = 5,934.00

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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.