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Finding the Fourth Proportional to 10,003.60, 15,005.40 and 9,201.70

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Solution

The fourth proportional to 10,003.60, 15,005.40 and 9,201.70 is: 13,802.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,003.60 : 15,005.40 = 9,201.70 : x
  2. Step 2: Convert to fraction form
    10,003.60/15,005.40 = 9,201.70/x
  3. Step 3: Cross multiply
    10,003.60x = 15,005.40 × 9,201.70
  4. Step 4: Simplify right side
    10,003.60x = 138,075,189.18
  5. Step 5: Solve for x
    x = 138,075,189.18/10,003.60
  6. Step 6: Final answer
    x = 13,802.55

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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.