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Finding the Fourth Proportional to 7,752.57, 10,698.68 and 4,395.32

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Solution

The fourth proportional to 7,752.57, 10,698.68 and 4,395.32 is: 6,065.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.57 : 10,698.68 = 4,395.32 : x
  2. Step 2: Convert to fraction form
    7,752.57/10,698.68 = 4,395.32/x
  3. Step 3: Cross multiply
    7,752.57x = 10,698.68 × 4,395.32
  4. Step 4: Simplify right side
    7,752.57x = 47,024,046.71
  5. Step 5: Solve for x
    x = 47,024,046.71/7,752.57
  6. Step 6: Final answer
    x = 6,065.61

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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.