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Finding the Fourth Proportional to 10,774.73, 14,864.14 and 6,298.67

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Solution

The fourth proportional to 10,774.73, 14,864.14 and 6,298.67 is: 8,689.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.73 : 14,864.14 = 6,298.67 : x
  2. Step 2: Convert to fraction form
    10,774.73/14,864.14 = 6,298.67/x
  3. Step 3: Cross multiply
    10,774.73x = 14,864.14 × 6,298.67
  4. Step 4: Simplify right side
    10,774.73x = 93,624,357.73
  5. Step 5: Solve for x
    x = 93,624,357.73/10,774.73
  6. Step 6: Final answer
    x = 8,689.25

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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.