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Finding the Fourth Proportional to 11,597.73, 15,986.19 and 9,075.79

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Solution

The fourth proportional to 11,597.73, 15,986.19 and 9,075.79 is: 12,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.73 : 15,986.19 = 9,075.79 : x
  2. Step 2: Convert to fraction form
    11,597.73/15,986.19 = 9,075.79/x
  3. Step 3: Cross multiply
    11,597.73x = 15,986.19 × 9,075.79
  4. Step 4: Simplify right side
    11,597.73x = 145,087,303.34
  5. Step 5: Solve for x
    x = 145,087,303.34/11,597.73
  6. Step 6: Final answer
    x = 12,509.97

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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.