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Finding the Fourth Proportional to 6,594.94, 9,088.74 and 5,409.10

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Solution

The fourth proportional to 6,594.94, 9,088.74 and 5,409.10 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.94 : 9,088.74 = 5,409.10 : x
  2. Step 2: Convert to fraction form
    6,594.94/9,088.74 = 5,409.10/x
  3. Step 3: Cross multiply
    6,594.94x = 9,088.74 × 5,409.10
  4. Step 4: Simplify right side
    6,594.94x = 49,161,903.53
  5. Step 5: Solve for x
    x = 49,161,903.53/6,594.94
  6. Step 6: Final answer
    x = 7,454.49

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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.