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Finding the Fourth Proportional to 6,547.95, 9,818.53 and 3,214.73

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Solution

The fourth proportional to 6,547.95, 9,818.53 and 3,214.73 is: 4,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.95 : 9,818.53 = 3,214.73 : x
  2. Step 2: Convert to fraction form
    6,547.95/9,818.53 = 3,214.73/x
  3. Step 3: Cross multiply
    6,547.95x = 9,818.53 × 3,214.73
  4. Step 4: Simplify right side
    6,547.95x = 31,563,939.46
  5. Step 5: Solve for x
    x = 31,563,939.46/6,547.95
  6. Step 6: Final answer
    x = 4,820.43

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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.