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Finding the Fourth Proportional to 9,762.48, 14,644.44 and 3,526.20

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Solution

The fourth proportional to 9,762.48, 14,644.44 and 3,526.20 is: 5,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.48 : 14,644.44 = 3,526.20 : x
  2. Step 2: Convert to fraction form
    9,762.48/14,644.44 = 3,526.20/x
  3. Step 3: Cross multiply
    9,762.48x = 14,644.44 × 3,526.20
  4. Step 4: Simplify right side
    9,762.48x = 51,639,224.33
  5. Step 5: Solve for x
    x = 51,639,224.33/9,762.48
  6. Step 6: Final answer
    x = 5,289.56

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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.