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Finding the Fourth Proportional to 9,762.02, 14,719.64 and 8,945.54

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Solution

The fourth proportional to 9,762.02, 14,719.64 and 8,945.54 is: 13,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.02 : 14,719.64 = 8,945.54 : x
  2. Step 2: Convert to fraction form
    9,762.02/14,719.64 = 8,945.54/x
  3. Step 3: Cross multiply
    9,762.02x = 14,719.64 × 8,945.54
  4. Step 4: Simplify right side
    9,762.02x = 131,675,128.41
  5. Step 5: Solve for x
    x = 131,675,128.41/9,762.02
  6. Step 6: Final answer
    x = 13,488.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.