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Finding the Fourth Proportional to 10,133.70, 15,200.55 and 6,440.10

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Solution

The fourth proportional to 10,133.70, 15,200.55 and 6,440.10 is: 9,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.70 : 15,200.55 = 6,440.10 : x
  2. Step 2: Convert to fraction form
    10,133.70/15,200.55 = 6,440.10/x
  3. Step 3: Cross multiply
    10,133.70x = 15,200.55 × 6,440.10
  4. Step 4: Simplify right side
    10,133.70x = 97,893,062.06
  5. Step 5: Solve for x
    x = 97,893,062.06/10,133.70
  6. Step 6: Final answer
    x = 9,660.15

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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.