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Finding the Fourth Proportional to 6,364.48, 9,547.26 and 1,981.04

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Solution

The fourth proportional to 6,364.48, 9,547.26 and 1,981.04 is: 2,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.48 : 9,547.26 = 1,981.04 : x
  2. Step 2: Convert to fraction form
    6,364.48/9,547.26 = 1,981.04/x
  3. Step 3: Cross multiply
    6,364.48x = 9,547.26 × 1,981.04
  4. Step 4: Simplify right side
    6,364.48x = 18,913,503.95
  5. Step 5: Solve for x
    x = 18,913,503.95/6,364.48
  6. Step 6: Final answer
    x = 2,971.73

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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.