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Finding the Fourth Proportional to 6,381.09, 9,547.59 and 5,733.63

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Solution

The fourth proportional to 6,381.09, 9,547.59 and 5,733.63 is: 8,578.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.09 : 9,547.59 = 5,733.63 : x
  2. Step 2: Convert to fraction form
    6,381.09/9,547.59 = 5,733.63/x
  3. Step 3: Cross multiply
    6,381.09x = 9,547.59 × 5,733.63
  4. Step 4: Simplify right side
    6,381.09x = 54,742,348.45
  5. Step 5: Solve for x
    x = 54,742,348.45/6,381.09
  6. Step 6: Final answer
    x = 8,578.84

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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.