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Finding the Fourth Proportional to 6,495.39, 9,741.47 and 2,547.45

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Solution

The fourth proportional to 6,495.39, 9,741.47 and 2,547.45 is: 3,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.39 : 9,741.47 = 2,547.45 : x
  2. Step 2: Convert to fraction form
    6,495.39/9,741.47 = 2,547.45/x
  3. Step 3: Cross multiply
    6,495.39x = 9,741.47 × 2,547.45
  4. Step 4: Simplify right side
    6,495.39x = 24,815,895.01
  5. Step 5: Solve for x
    x = 24,815,895.01/6,495.39
  6. Step 6: Final answer
    x = 3,820.54

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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.