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Finding the Fourth Proportional to 4,669.63, 7,005.47 and 1,382.98

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Solution

The fourth proportional to 4,669.63, 7,005.47 and 1,382.98 is: 2,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.63 : 7,005.47 = 1,382.98 : x
  2. Step 2: Convert to fraction form
    4,669.63/7,005.47 = 1,382.98/x
  3. Step 3: Cross multiply
    4,669.63x = 7,005.47 × 1,382.98
  4. Step 4: Simplify right side
    4,669.63x = 9,688,416.14
  5. Step 5: Solve for x
    x = 9,688,416.14/4,669.63
  6. Step 6: Final answer
    x = 2,074.77

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1.5x scale

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.