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Finding the Fourth Proportional to 7,522.50, 10,381.53 and 4,210.50

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Solution

The fourth proportional to 7,522.50, 10,381.53 and 4,210.50 is: 5,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.50 : 10,381.53 = 4,210.50 : x
  2. Step 2: Convert to fraction form
    7,522.50/10,381.53 = 4,210.50/x
  3. Step 3: Cross multiply
    7,522.50x = 10,381.53 × 4,210.50
  4. Step 4: Simplify right side
    7,522.50x = 43,711,432.07
  5. Step 5: Solve for x
    x = 43,711,432.07/7,522.50
  6. Step 6: Final answer
    x = 5,810.76

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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.