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Finding the Fourth Proportional to 8,971.84, 13,457.58 and 2,398.24

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Solution

The fourth proportional to 8,971.84, 13,457.58 and 2,398.24 is: 3,597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.84 : 13,457.58 = 2,398.24 : x
  2. Step 2: Convert to fraction form
    8,971.84/13,457.58 = 2,398.24/x
  3. Step 3: Cross multiply
    8,971.84x = 13,457.58 × 2,398.24
  4. Step 4: Simplify right side
    8,971.84x = 32,274,506.66
  5. Step 5: Solve for x
    x = 32,274,506.66/8,971.84
  6. Step 6: Final answer
    x = 3,597.31

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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.