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Finding the Fourth Proportional to 9,790.59, 13,510.89 and 5,314.50

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Solution

The fourth proportional to 9,790.59, 13,510.89 and 5,314.50 is: 7,333.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.59 : 13,510.89 = 5,314.50 : x
  2. Step 2: Convert to fraction form
    9,790.59/13,510.89 = 5,314.50/x
  3. Step 3: Cross multiply
    9,790.59x = 13,510.89 × 5,314.50
  4. Step 4: Simplify right side
    9,790.59x = 71,803,624.91
  5. Step 5: Solve for x
    x = 71,803,624.91/9,790.59
  6. Step 6: Final answer
    x = 7,333.94

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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.