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Finding the Fourth Proportional to 7,762.98, 10,713.83 and 4,576.98

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Solution

The fourth proportional to 7,762.98, 10,713.83 and 4,576.98 is: 6,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.98 : 10,713.83 = 4,576.98 : x
  2. Step 2: Convert to fraction form
    7,762.98/10,713.83 = 4,576.98/x
  3. Step 3: Cross multiply
    7,762.98x = 10,713.83 × 4,576.98
  4. Step 4: Simplify right side
    7,762.98x = 49,036,962.75
  5. Step 5: Solve for x
    x = 49,036,962.75/7,762.98
  6. Step 6: Final answer
    x = 6,316.77

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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.