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Finding the Fourth Proportional to 7,299, 10,070.27 and 4,315.83

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Solution

The fourth proportional to 7,299, 10,070.27 and 4,315.83 is: 5,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299 : 10,070.27 = 4,315.83 : x
  2. Step 2: Convert to fraction form
    7,299/10,070.27 = 4,315.83/x
  3. Step 3: Cross multiply
    7,299x = 10,070.27 × 4,315.83
  4. Step 4: Simplify right side
    7,299x = 43,461,573.37
  5. Step 5: Solve for x
    x = 43,461,573.37/7,299
  6. Step 6: Final answer
    x = 5,954.46

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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.