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Finding the Fourth Proportional to 5,646.66, 8,470.04 and 2,316.74

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Solution

The fourth proportional to 5,646.66, 8,470.04 and 2,316.74 is: 3,475.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.66 : 8,470.04 = 2,316.74 : x
  2. Step 2: Convert to fraction form
    5,646.66/8,470.04 = 2,316.74/x
  3. Step 3: Cross multiply
    5,646.66x = 8,470.04 × 2,316.74
  4. Step 4: Simplify right side
    5,646.66x = 19,622,880.47
  5. Step 5: Solve for x
    x = 19,622,880.47/5,646.66
  6. Step 6: Final answer
    x = 3,475.13

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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.