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Finding the Fourth Proportional to 9,776.64, 14,684.55 and 5,835.60

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Solution

The fourth proportional to 9,776.64, 14,684.55 and 5,835.60 is: 8,765.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.64 : 14,684.55 = 5,835.60 : x
  2. Step 2: Convert to fraction form
    9,776.64/14,684.55 = 5,835.60/x
  3. Step 3: Cross multiply
    9,776.64x = 14,684.55 × 5,835.60
  4. Step 4: Simplify right side
    9,776.64x = 85,693,159.98
  5. Step 5: Solve for x
    x = 85,693,159.98/9,776.64
  6. Step 6: Final answer
    x = 8,765.09

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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.