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Finding the Fourth Proportional to 9,205.16, 12,710.61 and 7,503.93

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Solution

The fourth proportional to 9,205.16, 12,710.61 and 7,503.93 is: 10,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.16 : 12,710.61 = 7,503.93 : x
  2. Step 2: Convert to fraction form
    9,205.16/12,710.61 = 7,503.93/x
  3. Step 3: Cross multiply
    9,205.16x = 12,710.61 × 7,503.93
  4. Step 4: Simplify right side
    9,205.16x = 95,379,527.70
  5. Step 5: Solve for x
    x = 95,379,527.70/9,205.16
  6. Step 6: Final answer
    x = 10,361.53

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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.