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Finding the Fourth Proportional to 7,817.59, 10,785.93 and 4,834.38

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Solution

The fourth proportional to 7,817.59, 10,785.93 and 4,834.38 is: 6,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.59 : 10,785.93 = 4,834.38 : x
  2. Step 2: Convert to fraction form
    7,817.59/10,785.93 = 4,834.38/x
  3. Step 3: Cross multiply
    7,817.59x = 10,785.93 × 4,834.38
  4. Step 4: Simplify right side
    7,817.59x = 52,143,267.37
  5. Step 5: Solve for x
    x = 52,143,267.37/7,817.59
  6. Step 6: Final answer
    x = 6,670.00

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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.