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Finding the Fourth Proportional to 7,703.84, 10,631.23 and 4,167.06

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Solution

The fourth proportional to 7,703.84, 10,631.23 and 4,167.06 is: 5,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.84 : 10,631.23 = 4,167.06 : x
  2. Step 2: Convert to fraction form
    7,703.84/10,631.23 = 4,167.06/x
  3. Step 3: Cross multiply
    7,703.84x = 10,631.23 × 4,167.06
  4. Step 4: Simplify right side
    7,703.84x = 44,300,920.13
  5. Step 5: Solve for x
    x = 44,300,920.13/7,703.84
  6. Step 6: Final answer
    x = 5,750.50

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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.