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Finding the Fourth Proportional to 7,509.71, 10,363.64 and 4,152.63

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Solution

The fourth proportional to 7,509.71, 10,363.64 and 4,152.63 is: 5,730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.71 : 10,363.64 = 4,152.63 : x
  2. Step 2: Convert to fraction form
    7,509.71/10,363.64 = 4,152.63/x
  3. Step 3: Cross multiply
    7,509.71x = 10,363.64 × 4,152.63
  4. Step 4: Simplify right side
    7,509.71x = 43,036,362.37
  5. Step 5: Solve for x
    x = 43,036,362.37/7,509.71
  6. Step 6: Final answer
    x = 5,730.76

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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.