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Finding the Fourth Proportional to 10,035.54, 13,854.06 and 6,501.60

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Solution

The fourth proportional to 10,035.54, 13,854.06 and 6,501.60 is: 8,975.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035.54 : 13,854.06 = 6,501.60 : x
  2. Step 2: Convert to fraction form
    10,035.54/13,854.06 = 6,501.60/x
  3. Step 3: Cross multiply
    10,035.54x = 13,854.06 × 6,501.60
  4. Step 4: Simplify right side
    10,035.54x = 90,073,556.50
  5. Step 5: Solve for x
    x = 90,073,556.50/10,035.54
  6. Step 6: Final answer
    x = 8,975.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.