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Finding the Fourth Proportional to 13,323.51, 18,384.14 and 7,656.93

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Solution

The fourth proportional to 13,323.51, 18,384.14 and 7,656.93 is: 10,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.51 : 18,384.14 = 7,656.93 : x
  2. Step 2: Convert to fraction form
    13,323.51/18,384.14 = 7,656.93/x
  3. Step 3: Cross multiply
    13,323.51x = 18,384.14 × 7,656.93
  4. Step 4: Simplify right side
    13,323.51x = 140,766,073.09
  5. Step 5: Solve for x
    x = 140,766,073.09/13,323.51
  6. Step 6: Final answer
    x = 10,565.24

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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.