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Finding the Fourth Proportional to 6,465.89, 9,693.90 and 2,953.46

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Solution

The fourth proportional to 6,465.89, 9,693.90 and 2,953.46 is: 4,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.89 : 9,693.90 = 2,953.46 : x
  2. Step 2: Convert to fraction form
    6,465.89/9,693.90 = 2,953.46/x
  3. Step 3: Cross multiply
    6,465.89x = 9,693.90 × 2,953.46
  4. Step 4: Simplify right side
    6,465.89x = 28,630,497.42
  5. Step 5: Solve for x
    x = 28,630,497.42/6,465.89
  6. Step 6: Final answer
    x = 4,427.93

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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.