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Finding the Fourth Proportional to 5,607.50, 8,411.25 and 1,503.50

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Solution

The fourth proportional to 5,607.50, 8,411.25 and 1,503.50 is: 2,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.50 : 8,411.25 = 1,503.50 : x
  2. Step 2: Convert to fraction form
    5,607.50/8,411.25 = 1,503.50/x
  3. Step 3: Cross multiply
    5,607.50x = 8,411.25 × 1,503.50
  4. Step 4: Simplify right side
    5,607.50x = 12,646,314.38
  5. Step 5: Solve for x
    x = 12,646,314.38/5,607.50
  6. Step 6: Final answer
    x = 2,255.25

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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.