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Finding the Fourth Proportional to 11,594.93, 15,994.80 and 7,058.99

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Solution

The fourth proportional to 11,594.93, 15,994.80 and 7,058.99 is: 9,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.93 : 15,994.80 = 7,058.99 : x
  2. Step 2: Convert to fraction form
    11,594.93/15,994.80 = 7,058.99/x
  3. Step 3: Cross multiply
    11,594.93x = 15,994.80 × 7,058.99
  4. Step 4: Simplify right side
    11,594.93x = 112,907,173.24
  5. Step 5: Solve for x
    x = 112,907,173.24/11,594.93
  6. Step 6: Final answer
    x = 9,737.64

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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.