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Finding the Fourth Proportional to 7,703.23, 10,630.50 and 4,300.40

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Solution

The fourth proportional to 7,703.23, 10,630.50 and 4,300.40 is: 5,934.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.23 : 10,630.50 = 4,300.40 : x
  2. Step 2: Convert to fraction form
    7,703.23/10,630.50 = 4,300.40/x
  3. Step 3: Cross multiply
    7,703.23x = 10,630.50 × 4,300.40
  4. Step 4: Simplify right side
    7,703.23x = 45,715,327.55
  5. Step 5: Solve for x
    x = 45,715,327.55/7,703.23
  6. Step 6: Final answer
    x = 5,934.57

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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.