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Finding the Fourth Proportional to 7,665.84, 10,576.98 and 4,307.99

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Solution

The fourth proportional to 7,665.84, 10,576.98 and 4,307.99 is: 5,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.84 : 10,576.98 = 4,307.99 : x
  2. Step 2: Convert to fraction form
    7,665.84/10,576.98 = 4,307.99/x
  3. Step 3: Cross multiply
    7,665.84x = 10,576.98 × 4,307.99
  4. Step 4: Simplify right side
    7,665.84x = 45,565,471.19
  5. Step 5: Solve for x
    x = 45,565,471.19/7,665.84
  6. Step 6: Final answer
    x = 5,943.96

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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.