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Finding the Fourth Proportional to 5,569.32, 8,406.31 and 5,569.32

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Solution

The fourth proportional to 5,569.32, 8,406.31 and 5,569.32 is: 8,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.32 : 8,406.31 = 5,569.32 : x
  2. Step 2: Convert to fraction form
    5,569.32/8,406.31 = 5,569.32/x
  3. Step 3: Cross multiply
    5,569.32x = 8,406.31 × 5,569.32
  4. Step 4: Simplify right side
    5,569.32x = 46,817,430.41
  5. Step 5: Solve for x
    x = 46,817,430.41/5,569.32
  6. Step 6: Final answer
    x = 8,406.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.