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Finding the Fourth Proportional to 4,645.77, 6,970.10 and 1,525.81

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Solution

The fourth proportional to 4,645.77, 6,970.10 and 1,525.81 is: 2,289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.77 : 6,970.10 = 1,525.81 : x
  2. Step 2: Convert to fraction form
    4,645.77/6,970.10 = 1,525.81/x
  3. Step 3: Cross multiply
    4,645.77x = 6,970.10 × 1,525.81
  4. Step 4: Simplify right side
    4,645.77x = 10,635,048.28
  5. Step 5: Solve for x
    x = 10,635,048.28/4,645.77
  6. Step 6: Final answer
    x = 2,289.19

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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.