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Finding the Fourth Proportional to 11,483.40, 15,842.84 and 7,233.32

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Solution

The fourth proportional to 11,483.40, 15,842.84 and 7,233.32 is: 9,979.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,483.40 : 15,842.84 = 7,233.32 : x
  2. Step 2: Convert to fraction form
    11,483.40/15,842.84 = 7,233.32/x
  3. Step 3: Cross multiply
    11,483.40x = 15,842.84 × 7,233.32
  4. Step 4: Simplify right side
    11,483.40x = 114,596,331.43
  5. Step 5: Solve for x
    x = 114,596,331.43/11,483.40
  6. Step 6: Final answer
    x = 9,979.30

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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.