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Finding the Fourth Proportional to 7,666.92, 10,583.46 and 4,681.80

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Solution

The fourth proportional to 7,666.92, 10,583.46 and 4,681.80 is: 6,462.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.92 : 10,583.46 = 4,681.80 : x
  2. Step 2: Convert to fraction form
    7,666.92/10,583.46 = 4,681.80/x
  3. Step 3: Cross multiply
    7,666.92x = 10,583.46 × 4,681.80
  4. Step 4: Simplify right side
    7,666.92x = 49,549,643.03
  5. Step 5: Solve for x
    x = 49,549,643.03/7,666.92
  6. Step 6: Final answer
    x = 6,462.78

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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.