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Finding the Fourth Proportional to 14,325.50, 19,768.68 and 7,951.93

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Solution

The fourth proportional to 14,325.50, 19,768.68 and 7,951.93 is: 10,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,325.50 : 19,768.68 = 7,951.93 : x
  2. Step 2: Convert to fraction form
    14,325.50/19,768.68 = 7,951.93/x
  3. Step 3: Cross multiply
    14,325.50x = 19,768.68 × 7,951.93
  4. Step 4: Simplify right side
    14,325.50x = 157,199,159.55
  5. Step 5: Solve for x
    x = 157,199,159.55/14,325.50
  6. Step 6: Final answer
    x = 10,973.38

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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.