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Finding the Fourth Proportional to 7,477.65, 10,322.84 and 4,826.52

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Solution

The fourth proportional to 7,477.65, 10,322.84 and 4,826.52 is: 6,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.65 : 10,322.84 = 4,826.52 : x
  2. Step 2: Convert to fraction form
    7,477.65/10,322.84 = 4,826.52/x
  3. Step 3: Cross multiply
    7,477.65x = 10,322.84 × 4,826.52
  4. Step 4: Simplify right side
    7,477.65x = 49,823,405.78
  5. Step 5: Solve for x
    x = 49,823,405.78/7,477.65
  6. Step 6: Final answer
    x = 6,662.98

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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.