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Finding the Fourth Proportional to 7,506.24, 10,352.70 and 7,003.22

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Solution

The fourth proportional to 7,506.24, 10,352.70 and 7,003.22 is: 9,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.24 : 10,352.70 = 7,003.22 : x
  2. Step 2: Convert to fraction form
    7,506.24/10,352.70 = 7,003.22/x
  3. Step 3: Cross multiply
    7,506.24x = 10,352.70 × 7,003.22
  4. Step 4: Simplify right side
    7,506.24x = 72,502,235.69
  5. Step 5: Solve for x
    x = 72,502,235.69/7,506.24
  6. Step 6: Final answer
    x = 9,658.93

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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.