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Finding the Fourth Proportional to 11,097.66, 15,312.95 and 6,559.71

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Solution

The fourth proportional to 11,097.66, 15,312.95 and 6,559.71 is: 9,051.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097.66 : 15,312.95 = 6,559.71 : x
  2. Step 2: Convert to fraction form
    11,097.66/15,312.95 = 6,559.71/x
  3. Step 3: Cross multiply
    11,097.66x = 15,312.95 × 6,559.71
  4. Step 4: Simplify right side
    11,097.66x = 100,448,401.88
  5. Step 5: Solve for x
    x = 100,448,401.88/11,097.66
  6. Step 6: Final answer
    x = 9,051.32

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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.