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Finding the Fourth Proportional to 9,822.93, 13,555.93 and 5,346.97

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Solution

The fourth proportional to 9,822.93, 13,555.93 and 5,346.97 is: 7,378.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.93 : 13,555.93 = 5,346.97 : x
  2. Step 2: Convert to fraction form
    9,822.93/13,555.93 = 5,346.97/x
  3. Step 3: Cross multiply
    9,822.93x = 13,555.93 × 5,346.97
  4. Step 4: Simplify right side
    9,822.93x = 72,483,090.41
  5. Step 5: Solve for x
    x = 72,483,090.41/9,822.93
  6. Step 6: Final answer
    x = 7,378.97

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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.