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Finding the Fourth Proportional to 7,503.57, 10,347.14 and 6,444.83

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Solution

The fourth proportional to 7,503.57, 10,347.14 and 6,444.83 is: 8,887.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503.57 : 10,347.14 = 6,444.83 : x
  2. Step 2: Convert to fraction form
    7,503.57/10,347.14 = 6,444.83/x
  3. Step 3: Cross multiply
    7,503.57x = 10,347.14 × 6,444.83
  4. Step 4: Simplify right side
    7,503.57x = 66,685,600.27
  5. Step 5: Solve for x
    x = 66,685,600.27/7,503.57
  6. Step 6: Final answer
    x = 8,887.18

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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.