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Finding the Fourth Proportional to 6,547.77, 9,041.38 and 6,072.91

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Solution

The fourth proportional to 6,547.77, 9,041.38 and 6,072.91 is: 8,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.77 : 9,041.38 = 6,072.91 : x
  2. Step 2: Convert to fraction form
    6,547.77/9,041.38 = 6,072.91/x
  3. Step 3: Cross multiply
    6,547.77x = 9,041.38 × 6,072.91
  4. Step 4: Simplify right side
    6,547.77x = 54,907,487.02
  5. Step 5: Solve for x
    x = 54,907,487.02/6,547.77
  6. Step 6: Final answer
    x = 8,385.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.