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Finding the Fourth Proportional to 6,547.81, 9,035.74 and 3,563.58

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Solution

The fourth proportional to 6,547.81, 9,035.74 and 3,563.58 is: 4,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.81 : 9,035.74 = 3,563.58 : x
  2. Step 2: Convert to fraction form
    6,547.81/9,035.74 = 3,563.58/x
  3. Step 3: Cross multiply
    6,547.81x = 9,035.74 × 3,563.58
  4. Step 4: Simplify right side
    6,547.81x = 32,199,549.82
  5. Step 5: Solve for x
    x = 32,199,549.82/6,547.81
  6. Step 6: Final answer
    x = 4,917.61

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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.