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Finding the Fourth Proportional to 7,057.52, 9,739.68 and 4,698.08

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Solution

The fourth proportional to 7,057.52, 9,739.68 and 4,698.08 is: 6,483.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.52 : 9,739.68 = 4,698.08 : x
  2. Step 2: Convert to fraction form
    7,057.52/9,739.68 = 4,698.08/x
  3. Step 3: Cross multiply
    7,057.52x = 9,739.68 × 4,698.08
  4. Step 4: Simplify right side
    7,057.52x = 45,757,795.81
  5. Step 5: Solve for x
    x = 45,757,795.81/7,057.52
  6. Step 6: Final answer
    x = 6,483.55

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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.