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Finding the Fourth Proportional to 10,201.60, 15,302.40 and 9,798.40

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Solution

The fourth proportional to 10,201.60, 15,302.40 and 9,798.40 is: 14,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.60 : 15,302.40 = 9,798.40 : x
  2. Step 2: Convert to fraction form
    10,201.60/15,302.40 = 9,798.40/x
  3. Step 3: Cross multiply
    10,201.60x = 15,302.40 × 9,798.40
  4. Step 4: Simplify right side
    10,201.60x = 149,939,036.16
  5. Step 5: Solve for x
    x = 149,939,036.16/10,201.60
  6. Step 6: Final answer
    x = 14,697.60

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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.