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Finding the Fourth Proportional to 9,790.54, 13,509.93 and 5,599.06

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Solution

The fourth proportional to 9,790.54, 13,509.93 and 5,599.06 is: 7,726.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.54 : 13,509.93 = 5,599.06 : x
  2. Step 2: Convert to fraction form
    9,790.54/13,509.93 = 5,599.06/x
  3. Step 3: Cross multiply
    9,790.54x = 13,509.93 × 5,599.06
  4. Step 4: Simplify right side
    9,790.54x = 75,642,908.67
  5. Step 5: Solve for x
    x = 75,642,908.67/9,790.54
  6. Step 6: Final answer
    x = 7,726.12

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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.