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Finding the Fourth Proportional to 16,475.76, 22,735.65 and 9,762.01

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Solution

The fourth proportional to 16,475.76, 22,735.65 and 9,762.01 is: 13,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.76 : 22,735.65 = 9,762.01 : x
  2. Step 2: Convert to fraction form
    16,475.76/22,735.65 = 9,762.01/x
  3. Step 3: Cross multiply
    16,475.76x = 22,735.65 × 9,762.01
  4. Step 4: Simplify right side
    16,475.76x = 221,945,504.57
  5. Step 5: Solve for x
    x = 221,945,504.57/16,475.76
  6. Step 6: Final answer
    x = 13,471.03

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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.