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Finding the Fourth Proportional to 9,776.99, 13,492.19 and 5,300.73

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Solution

The fourth proportional to 9,776.99, 13,492.19 and 5,300.73 is: 7,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.99 : 13,492.19 = 5,300.73 : x
  2. Step 2: Convert to fraction form
    9,776.99/13,492.19 = 5,300.73/x
  3. Step 3: Cross multiply
    9,776.99x = 13,492.19 × 5,300.73
  4. Step 4: Simplify right side
    9,776.99x = 71,518,439.73
  5. Step 5: Solve for x
    x = 71,518,439.73/9,776.99
  6. Step 6: Final answer
    x = 7,314.97

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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.