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Finding the Fourth Proportional to 7,509.67, 10,363.20 and 4,152.52

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Solution

The fourth proportional to 7,509.67, 10,363.20 and 4,152.52 is: 5,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.67 : 10,363.20 = 4,152.52 : x
  2. Step 2: Convert to fraction form
    7,509.67/10,363.20 = 4,152.52/x
  3. Step 3: Cross multiply
    7,509.67x = 10,363.20 × 4,152.52
  4. Step 4: Simplify right side
    7,509.67x = 43,033,395.26
  5. Step 5: Solve for x
    x = 43,033,395.26/7,509.67
  6. Step 6: Final answer
    x = 5,730.40

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Half scale
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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.