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Finding the Fourth Proportional to 10,533.60, 15,800.40 and 9,458.40

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Solution

The fourth proportional to 10,533.60, 15,800.40 and 9,458.40 is: 14,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.60 : 15,800.40 = 9,458.40 : x
  2. Step 2: Convert to fraction form
    10,533.60/15,800.40 = 9,458.40/x
  3. Step 3: Cross multiply
    10,533.60x = 15,800.40 × 9,458.40
  4. Step 4: Simplify right side
    10,533.60x = 149,446,503.36
  5. Step 5: Solve for x
    x = 149,446,503.36/10,533.60
  6. Step 6: Final answer
    x = 14,187.60

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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.