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Finding the Fourth Proportional to 9,437.10, 14,203.04 and 7,109.16

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Solution

The fourth proportional to 9,437.10, 14,203.04 and 7,109.16 is: 10,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.10 : 14,203.04 = 7,109.16 : x
  2. Step 2: Convert to fraction form
    9,437.10/14,203.04 = 7,109.16/x
  3. Step 3: Cross multiply
    9,437.10x = 14,203.04 × 7,109.16
  4. Step 4: Simplify right side
    9,437.10x = 100,971,683.85
  5. Step 5: Solve for x
    x = 100,971,683.85/9,437.10
  6. Step 6: Final answer
    x = 10,699.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.