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Finding the Fourth Proportional to 7,057.80, 9,740.36 and 3,915

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Solution

The fourth proportional to 7,057.80, 9,740.36 and 3,915 is: 5,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.80 : 9,740.36 = 3,915 : x
  2. Step 2: Convert to fraction form
    7,057.80/9,740.36 = 3,915/x
  3. Step 3: Cross multiply
    7,057.80x = 9,740.36 × 3,915
  4. Step 4: Simplify right side
    7,057.80x = 38,133,509.40
  5. Step 5: Solve for x
    x = 38,133,509.40/7,057.80
  6. Step 6: Final answer
    x = 5,403.03

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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.