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Finding the Fourth Proportional to 6,465.65, 8,926.68 and 4,475.48

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Solution

The fourth proportional to 6,465.65, 8,926.68 and 4,475.48 is: 6,178.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.65 : 8,926.68 = 4,475.48 : x
  2. Step 2: Convert to fraction form
    6,465.65/8,926.68 = 4,475.48/x
  3. Step 3: Cross multiply
    6,465.65x = 8,926.68 × 4,475.48
  4. Step 4: Simplify right side
    6,465.65x = 39,951,177.81
  5. Step 5: Solve for x
    x = 39,951,177.81/6,465.65
  6. Step 6: Final answer
    x = 6,178.99

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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.