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Finding the Fourth Proportional to 6,364.42, 9,547.55 and 1,982.32

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Solution

The fourth proportional to 6,364.42, 9,547.55 and 1,982.32 is: 2,973.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.42 : 9,547.55 = 1,982.32 : x
  2. Step 2: Convert to fraction form
    6,364.42/9,547.55 = 1,982.32/x
  3. Step 3: Cross multiply
    6,364.42x = 9,547.55 × 1,982.32
  4. Step 4: Simplify right side
    6,364.42x = 18,926,299.32
  5. Step 5: Solve for x
    x = 18,926,299.32/6,364.42
  6. Step 6: Final answer
    x = 2,973.77

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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.