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Finding the Fourth Proportional to 9,525.58, 13,133.69 and 7,000

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Solution

The fourth proportional to 9,525.58, 13,133.69 and 7,000 is: 9,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.58 : 13,133.69 = 7,000 : x
  2. Step 2: Convert to fraction form
    9,525.58/13,133.69 = 7,000/x
  3. Step 3: Cross multiply
    9,525.58x = 13,133.69 × 7,000
  4. Step 4: Simplify right side
    9,525.58x = 91,935,795
  5. Step 5: Solve for x
    x = 91,935,795/9,525.58
  6. Step 6: Final answer
    x = 9,651.46

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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.