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Finding the Fourth Proportional to 7,009.74, 9,675.30 and 4,140.98

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Solution

The fourth proportional to 7,009.74, 9,675.30 and 4,140.98 is: 5,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.74 : 9,675.30 = 4,140.98 : x
  2. Step 2: Convert to fraction form
    7,009.74/9,675.30 = 4,140.98/x
  3. Step 3: Cross multiply
    7,009.74x = 9,675.30 × 4,140.98
  4. Step 4: Simplify right side
    7,009.74x = 40,065,223.79
  5. Step 5: Solve for x
    x = 40,065,223.79/7,009.74
  6. Step 6: Final answer
    x = 5,715.65

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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.