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Finding the Fourth Proportional to 14,193.69, 21,303.68 and 7,178.67

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Solution

The fourth proportional to 14,193.69, 21,303.68 and 7,178.67 is: 10,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.69 : 21,303.68 = 7,178.67 : x
  2. Step 2: Convert to fraction form
    14,193.69/21,303.68 = 7,178.67/x
  3. Step 3: Cross multiply
    14,193.69x = 21,303.68 × 7,178.67
  4. Step 4: Simplify right side
    14,193.69x = 152,932,052.61
  5. Step 5: Solve for x
    x = 152,932,052.61/14,193.69
  6. Step 6: Final answer
    x = 10,774.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.