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Finding the Fourth Proportional to 9,665.46, 14,498.64 and 4,398.30

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Solution

The fourth proportional to 9,665.46, 14,498.64 and 4,398.30 is: 6,597.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.46 : 14,498.64 = 4,398.30 : x
  2. Step 2: Convert to fraction form
    9,665.46/14,498.64 = 4,398.30/x
  3. Step 3: Cross multiply
    9,665.46x = 14,498.64 × 4,398.30
  4. Step 4: Simplify right side
    9,665.46x = 63,769,368.31
  5. Step 5: Solve for x
    x = 63,769,368.31/9,665.46
  6. Step 6: Final answer
    x = 6,597.65

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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.