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Finding the Fourth Proportional to 13,800.96, 19,045.14 and 7,513.32

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Solution

The fourth proportional to 13,800.96, 19,045.14 and 7,513.32 is: 10,368.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800.96 : 19,045.14 = 7,513.32 : x
  2. Step 2: Convert to fraction form
    13,800.96/19,045.14 = 7,513.32/x
  3. Step 3: Cross multiply
    13,800.96x = 19,045.14 × 7,513.32
  4. Step 4: Simplify right side
    13,800.96x = 143,092,231.26
  5. Step 5: Solve for x
    x = 143,092,231.26/13,800.96
  6. Step 6: Final answer
    x = 10,368.28

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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.