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Finding the Fourth Proportional to 8,971.34, 13,457.76 and 2,397.50

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Solution

The fourth proportional to 8,971.34, 13,457.76 and 2,397.50 is: 3,596.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,971.34 : 13,457.76 = 2,397.50 : x
  2. Step 2: Convert to fraction form
    8,971.34/13,457.76 = 2,397.50/x
  3. Step 3: Cross multiply
    8,971.34x = 13,457.76 × 2,397.50
  4. Step 4: Simplify right side
    8,971.34x = 32,264,979.60
  5. Step 5: Solve for x
    x = 32,264,979.60/8,971.34
  6. Step 6: Final answer
    x = 3,596.45

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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.