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Finding the Fourth Proportional to 8,465.66, 12,712.96 and 5,509.16

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Solution

The fourth proportional to 8,465.66, 12,712.96 and 5,509.16 is: 8,273.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.66 : 12,712.96 = 5,509.16 : x
  2. Step 2: Convert to fraction form
    8,465.66/12,712.96 = 5,509.16/x
  3. Step 3: Cross multiply
    8,465.66x = 12,712.96 × 5,509.16
  4. Step 4: Simplify right side
    8,465.66x = 70,037,730.71
  5. Step 5: Solve for x
    x = 70,037,730.71/8,465.66
  6. Step 6: Final answer
    x = 8,273.16

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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.