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Finding the Fourth Proportional to 6,548.95, 9,815.58 and 3,034.19

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Solution

The fourth proportional to 6,548.95, 9,815.58 and 3,034.19 is: 4,547.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.95 : 9,815.58 = 3,034.19 : x
  2. Step 2: Convert to fraction form
    6,548.95/9,815.58 = 3,034.19/x
  3. Step 3: Cross multiply
    6,548.95x = 9,815.58 × 3,034.19
  4. Step 4: Simplify right side
    6,548.95x = 29,782,359.22
  5. Step 5: Solve for x
    x = 29,782,359.22/6,548.95
  6. Step 6: Final answer
    x = 4,547.65

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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.