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Finding the Fourth Proportional to 9,503.80, 14,255.70 and 4,570.90

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Solution

The fourth proportional to 9,503.80, 14,255.70 and 4,570.90 is: 6,856.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.80 : 14,255.70 = 4,570.90 : x
  2. Step 2: Convert to fraction form
    9,503.80/14,255.70 = 4,570.90/x
  3. Step 3: Cross multiply
    9,503.80x = 14,255.70 × 4,570.90
  4. Step 4: Simplify right side
    9,503.80x = 65,161,379.13
  5. Step 5: Solve for x
    x = 65,161,379.13/9,503.80
  6. Step 6: Final answer
    x = 6,856.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.