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Finding the Fourth Proportional to 7,239.75, 9,973.02 and 6,174.06

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Solution

The fourth proportional to 7,239.75, 9,973.02 and 6,174.06 is: 8,505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.75 : 9,973.02 = 6,174.06 : x
  2. Step 2: Convert to fraction form
    7,239.75/9,973.02 = 6,174.06/x
  3. Step 3: Cross multiply
    7,239.75x = 9,973.02 × 6,174.06
  4. Step 4: Simplify right side
    7,239.75x = 61,574,009.62
  5. Step 5: Solve for x
    x = 61,574,009.62/7,239.75
  6. Step 6: Final answer
    x = 8,505.00

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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.