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Finding the Fourth Proportional to 9,406.70, 14,110.05 and 4,741.10

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Solution

The fourth proportional to 9,406.70, 14,110.05 and 4,741.10 is: 7,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.70 : 14,110.05 = 4,741.10 : x
  2. Step 2: Convert to fraction form
    9,406.70/14,110.05 = 4,741.10/x
  3. Step 3: Cross multiply
    9,406.70x = 14,110.05 × 4,741.10
  4. Step 4: Simplify right side
    9,406.70x = 66,897,158.06
  5. Step 5: Solve for x
    x = 66,897,158.06/9,406.70
  6. Step 6: Final answer
    x = 7,111.65

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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.