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Finding the Fourth Proportional to 6,342.84, 9,467.64 and 5,897.16

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Solution

The fourth proportional to 6,342.84, 9,467.64 and 5,897.16 is: 8,802.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.84 : 9,467.64 = 5,897.16 : x
  2. Step 2: Convert to fraction form
    6,342.84/9,467.64 = 5,897.16/x
  3. Step 3: Cross multiply
    6,342.84x = 9,467.64 × 5,897.16
  4. Step 4: Simplify right side
    6,342.84x = 55,832,187.90
  5. Step 5: Solve for x
    x = 55,832,187.90/6,342.84
  6. Step 6: Final answer
    x = 8,802.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.