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Finding the Fourth Proportional to 10,365.51, 14,310.34 and 6,834.88

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Solution

The fourth proportional to 10,365.51, 14,310.34 and 6,834.88 is: 9,436.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.51 : 14,310.34 = 6,834.88 : x
  2. Step 2: Convert to fraction form
    10,365.51/14,310.34 = 6,834.88/x
  3. Step 3: Cross multiply
    10,365.51x = 14,310.34 × 6,834.88
  4. Step 4: Simplify right side
    10,365.51x = 97,809,457.46
  5. Step 5: Solve for x
    x = 97,809,457.46/10,365.51
  6. Step 6: Final answer
    x = 9,436.05

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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.