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Finding the Fourth Proportional to 9,704.70, 14,535.18 and 5,800.95

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Solution

The fourth proportional to 9,704.70, 14,535.18 and 5,800.95 is: 8,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.70 : 14,535.18 = 5,800.95 : x
  2. Step 2: Convert to fraction form
    9,704.70/14,535.18 = 5,800.95/x
  3. Step 3: Cross multiply
    9,704.70x = 14,535.18 × 5,800.95
  4. Step 4: Simplify right side
    9,704.70x = 84,317,852.42
  5. Step 5: Solve for x
    x = 84,317,852.42/9,704.70
  6. Step 6: Final answer
    x = 8,688.35

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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.