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Finding the Fourth Proportional to 9,698.88, 14,513.76 and 9,543.36

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Solution

The fourth proportional to 9,698.88, 14,513.76 and 9,543.36 is: 14,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.88 : 14,513.76 = 9,543.36 : x
  2. Step 2: Convert to fraction form
    9,698.88/14,513.76 = 9,543.36/x
  3. Step 3: Cross multiply
    9,698.88x = 14,513.76 × 9,543.36
  4. Step 4: Simplify right side
    9,698.88x = 138,510,036.63
  5. Step 5: Solve for x
    x = 138,510,036.63/9,698.88
  6. Step 6: Final answer
    x = 14,281.03

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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.