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Finding the Fourth Proportional to 6,477.10, 9,715.65 and 5,748.10

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Solution

The fourth proportional to 6,477.10, 9,715.65 and 5,748.10 is: 8,622.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.10 : 9,715.65 = 5,748.10 : x
  2. Step 2: Convert to fraction form
    6,477.10/9,715.65 = 5,748.10/x
  3. Step 3: Cross multiply
    6,477.10x = 9,715.65 × 5,748.10
  4. Step 4: Simplify right side
    6,477.10x = 55,846,527.77
  5. Step 5: Solve for x
    x = 55,846,527.77/6,477.10
  6. Step 6: Final answer
    x = 8,622.15

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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.