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Finding the Fourth Proportional to 9,605.56, 14,407.10 and 3,032.40

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Solution

The fourth proportional to 9,605.56, 14,407.10 and 3,032.40 is: 4,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.56 : 14,407.10 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    9,605.56/14,407.10 = 3,032.40/x
  3. Step 3: Cross multiply
    9,605.56x = 14,407.10 × 3,032.40
  4. Step 4: Simplify right side
    9,605.56x = 43,688,090.04
  5. Step 5: Solve for x
    x = 43,688,090.04/9,605.56
  6. Step 6: Final answer
    x = 4,548.21

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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.