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Finding the Fourth Proportional to 14,430.56, 19,914.04 and 7,806.56

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Solution

The fourth proportional to 14,430.56, 19,914.04 and 7,806.56 is: 10,772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.56 : 19,914.04 = 7,806.56 : x
  2. Step 2: Convert to fraction form
    14,430.56/19,914.04 = 7,806.56/x
  3. Step 3: Cross multiply
    14,430.56x = 19,914.04 × 7,806.56
  4. Step 4: Simplify right side
    14,430.56x = 155,460,148.10
  5. Step 5: Solve for x
    x = 155,460,148.10/14,430.56
  6. Step 6: Final answer
    x = 10,772.98

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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.