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Finding the Fourth Proportional to 7,057.58, 9,735.02 and 4,542.98

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Solution

The fourth proportional to 7,057.58, 9,735.02 and 4,542.98 is: 6,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.58 : 9,735.02 = 4,542.98 : x
  2. Step 2: Convert to fraction form
    7,057.58/9,735.02 = 4,542.98/x
  3. Step 3: Cross multiply
    7,057.58x = 9,735.02 × 4,542.98
  4. Step 4: Simplify right side
    7,057.58x = 44,226,001.16
  5. Step 5: Solve for x
    x = 44,226,001.16/7,057.58
  6. Step 6: Final answer
    x = 6,266.45

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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.