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Finding the Fourth Proportional to 5,673.17, 8,509.80 and 1,569.17

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Solution

The fourth proportional to 5,673.17, 8,509.80 and 1,569.17 is: 2,353.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,673.17 : 8,509.80 = 1,569.17 : x
  2. Step 2: Convert to fraction form
    5,673.17/8,509.80 = 1,569.17/x
  3. Step 3: Cross multiply
    5,673.17x = 8,509.80 × 1,569.17
  4. Step 4: Simplify right side
    5,673.17x = 13,353,322.87
  5. Step 5: Solve for x
    x = 13,353,322.87/5,673.17
  6. Step 6: Final answer
    x = 2,353.77

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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.