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Finding the Fourth Proportional to 9,953.60, 14,908.80 and 6,454.40

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Solution

The fourth proportional to 9,953.60, 14,908.80 and 6,454.40 is: 9,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.60 : 14,908.80 = 6,454.40 : x
  2. Step 2: Convert to fraction form
    9,953.60/14,908.80 = 6,454.40/x
  3. Step 3: Cross multiply
    9,953.60x = 14,908.80 × 6,454.40
  4. Step 4: Simplify right side
    9,953.60x = 96,227,358.72
  5. Step 5: Solve for x
    x = 96,227,358.72/9,953.60
  6. Step 6: Final answer
    x = 9,667.59

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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.