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Finding the Fourth Proportional to 10,365.54, 14,304.39 and 5,888.40

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Solution

The fourth proportional to 10,365.54, 14,304.39 and 5,888.40 is: 8,125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.54 : 14,304.39 = 5,888.40 : x
  2. Step 2: Convert to fraction form
    10,365.54/14,304.39 = 5,888.40/x
  3. Step 3: Cross multiply
    10,365.54x = 14,304.39 × 5,888.40
  4. Step 4: Simplify right side
    10,365.54x = 84,229,970.08
  5. Step 5: Solve for x
    x = 84,229,970.08/10,365.54
  6. Step 6: Final answer
    x = 8,125.96

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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.