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Finding the Fourth Proportional to 6,547.84, 9,035.99 and 3,563.68

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Solution

The fourth proportional to 6,547.84, 9,035.99 and 3,563.68 is: 4,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.84 : 9,035.99 = 3,563.68 : x
  2. Step 2: Convert to fraction form
    6,547.84/9,035.99 = 3,563.68/x
  3. Step 3: Cross multiply
    6,547.84x = 9,035.99 × 3,563.68
  4. Step 4: Simplify right side
    6,547.84x = 32,201,386.79
  5. Step 5: Solve for x
    x = 32,201,386.79/6,547.84
  6. Step 6: Final answer
    x = 4,917.86

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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.