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Finding the Fourth Proportional to 9,503.12, 13,113.74 and 5,253.93

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Solution

The fourth proportional to 9,503.12, 13,113.74 and 5,253.93 is: 7,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.12 : 13,113.74 = 5,253.93 : x
  2. Step 2: Convert to fraction form
    9,503.12/13,113.74 = 5,253.93/x
  3. Step 3: Cross multiply
    9,503.12x = 13,113.74 × 5,253.93
  4. Step 4: Simplify right side
    9,503.12x = 68,898,593.29
  5. Step 5: Solve for x
    x = 68,898,593.29/9,503.12
  6. Step 6: Final answer
    x = 7,250.10

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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.