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Finding the Fourth Proportional to 14,097, 19,453.86 and 8,506.92

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Solution

The fourth proportional to 14,097, 19,453.86 and 8,506.92 is: 11,739.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097 : 19,453.86 = 8,506.92 : x
  2. Step 2: Convert to fraction form
    14,097/19,453.86 = 8,506.92/x
  3. Step 3: Cross multiply
    14,097x = 19,453.86 × 8,506.92
  4. Step 4: Simplify right side
    14,097x = 165,492,430.71
  5. Step 5: Solve for x
    x = 165,492,430.71/14,097
  6. Step 6: Final answer
    x = 11,739.55

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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.