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Finding the Fourth Proportional to 7,559.48, 11,332.74 and 4,475

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Solution

The fourth proportional to 7,559.48, 11,332.74 and 4,475 is: 6,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.48 : 11,332.74 = 4,475 : x
  2. Step 2: Convert to fraction form
    7,559.48/11,332.74 = 4,475/x
  3. Step 3: Cross multiply
    7,559.48x = 11,332.74 × 4,475
  4. Step 4: Simplify right side
    7,559.48x = 50,714,011.50
  5. Step 5: Solve for x
    x = 50,714,011.50/7,559.48
  6. Step 6: Final answer
    x = 6,708.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.