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Finding the Fourth Proportional to 10,610.42, 15,837.75 and 9,828.50

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Solution

The fourth proportional to 10,610.42, 15,837.75 and 9,828.50 is: 14,670.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.42 : 15,837.75 = 9,828.50 : x
  2. Step 2: Convert to fraction form
    10,610.42/15,837.75 = 9,828.50/x
  3. Step 3: Cross multiply
    10,610.42x = 15,837.75 × 9,828.50
  4. Step 4: Simplify right side
    10,610.42x = 155,661,276.73
  5. Step 5: Solve for x
    x = 155,661,276.73/10,610.42
  6. Step 6: Final answer
    x = 14,670.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.