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Finding the Fourth Proportional to 13,765.82, 19,002.65 and 9,295.63

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Solution

The fourth proportional to 13,765.82, 19,002.65 and 9,295.63 is: 12,831.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.82 : 19,002.65 = 9,295.63 : x
  2. Step 2: Convert to fraction form
    13,765.82/19,002.65 = 9,295.63/x
  3. Step 3: Cross multiply
    13,765.82x = 19,002.65 × 9,295.63
  4. Step 4: Simplify right side
    13,765.82x = 176,641,509.43
  5. Step 5: Solve for x
    x = 176,641,509.43/13,765.82
  6. Step 6: Final answer
    x = 12,831.90

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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.