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Finding the Fourth Proportional to 13,009.51, 17,953.16 and 7,041.24

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Solution

The fourth proportional to 13,009.51, 17,953.16 and 7,041.24 is: 9,716.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009.51 : 17,953.16 = 7,041.24 : x
  2. Step 2: Convert to fraction form
    13,009.51/17,953.16 = 7,041.24/x
  3. Step 3: Cross multiply
    13,009.51x = 17,953.16 × 7,041.24
  4. Step 4: Simplify right side
    13,009.51x = 126,412,508.32
  5. Step 5: Solve for x
    x = 126,412,508.32/13,009.51
  6. Step 6: Final answer
    x = 9,716.93

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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.