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Finding the Fourth Proportional to 7,048.30, 9,710.99 and 4,654.02

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Solution

The fourth proportional to 7,048.30, 9,710.99 and 4,654.02 is: 6,412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.30 : 9,710.99 = 4,654.02 : x
  2. Step 2: Convert to fraction form
    7,048.30/9,710.99 = 4,654.02/x
  3. Step 3: Cross multiply
    7,048.30x = 9,710.99 × 4,654.02
  4. Step 4: Simplify right side
    7,048.30x = 45,195,141.68
  5. Step 5: Solve for x
    x = 45,195,141.68/7,048.30
  6. Step 6: Final answer
    x = 6,412.20

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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.