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Finding the Fourth Proportional to 10,539.60, 15,809.40 and 9,464.40

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Solution

The fourth proportional to 10,539.60, 15,809.40 and 9,464.40 is: 14,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,539.60 : 15,809.40 = 9,464.40 : x
  2. Step 2: Convert to fraction form
    10,539.60/15,809.40 = 9,464.40/x
  3. Step 3: Cross multiply
    10,539.60x = 15,809.40 × 9,464.40
  4. Step 4: Simplify right side
    10,539.60x = 149,626,485.36
  5. Step 5: Solve for x
    x = 149,626,485.36/10,539.60
  6. Step 6: Final answer
    x = 14,196.60

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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.