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Finding the Fourth Proportional to 9,873.54, 13,615.02 and 7,041.24

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Solution

The fourth proportional to 9,873.54, 13,615.02 and 7,041.24 is: 9,709.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.54 : 13,615.02 = 7,041.24 : x
  2. Step 2: Convert to fraction form
    9,873.54/13,615.02 = 7,041.24/x
  3. Step 3: Cross multiply
    9,873.54x = 13,615.02 × 7,041.24
  4. Step 4: Simplify right side
    9,873.54x = 95,866,623.42
  5. Step 5: Solve for x
    x = 95,866,623.42/9,873.54
  6. Step 6: Final answer
    x = 9,709.45

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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.