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Finding the Fourth Proportional to 7,114.66, 10,677.80 and 5,036.71

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Solution

The fourth proportional to 7,114.66, 10,677.80 and 5,036.71 is: 7,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.66 : 10,677.80 = 5,036.71 : x
  2. Step 2: Convert to fraction form
    7,114.66/10,677.80 = 5,036.71/x
  3. Step 3: Cross multiply
    7,114.66x = 10,677.80 × 5,036.71
  4. Step 4: Simplify right side
    7,114.66x = 53,780,943.76
  5. Step 5: Solve for x
    x = 53,780,943.76/7,114.66
  6. Step 6: Final answer
    x = 7,559.17

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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.