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Finding the Fourth Proportional to 9,762.96, 14,655.48 and 3,923.64

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Solution

The fourth proportional to 9,762.96, 14,655.48 and 3,923.64 is: 5,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.96 : 14,655.48 = 3,923.64 : x
  2. Step 2: Convert to fraction form
    9,762.96/14,655.48 = 3,923.64/x
  3. Step 3: Cross multiply
    9,762.96x = 14,655.48 × 3,923.64
  4. Step 4: Simplify right side
    9,762.96x = 57,502,827.55
  5. Step 5: Solve for x
    x = 57,502,827.55/9,762.96
  6. Step 6: Final answer
    x = 5,889.90

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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.