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Finding the Fourth Proportional to 7,459.14, 10,293 and 4,315.52

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Solution

The fourth proportional to 7,459.14, 10,293 and 4,315.52 is: 5,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.14 : 10,293 = 4,315.52 : x
  2. Step 2: Convert to fraction form
    7,459.14/10,293 = 4,315.52/x
  3. Step 3: Cross multiply
    7,459.14x = 10,293 × 4,315.52
  4. Step 4: Simplify right side
    7,459.14x = 44,419,647.36
  5. Step 5: Solve for x
    x = 44,419,647.36/7,459.14
  6. Step 6: Final answer
    x = 5,955.06

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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.