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Finding the Fourth Proportional to 7,703.86, 10,631.40 and 4,167.15

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Solution

The fourth proportional to 7,703.86, 10,631.40 and 4,167.15 is: 5,750.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.86 : 10,631.40 = 4,167.15 : x
  2. Step 2: Convert to fraction form
    7,703.86/10,631.40 = 4,167.15/x
  3. Step 3: Cross multiply
    7,703.86x = 10,631.40 × 4,167.15
  4. Step 4: Simplify right side
    7,703.86x = 44,302,606.46
  5. Step 5: Solve for x
    x = 44,302,606.46/7,703.86
  6. Step 6: Final answer
    x = 5,750.70

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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.