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Finding the Fourth Proportional to 9,898.32, 14,854.74 and 7,973.76

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Solution

The fourth proportional to 9,898.32, 14,854.74 and 7,973.76 is: 11,966.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.32 : 14,854.74 = 7,973.76 : x
  2. Step 2: Convert to fraction form
    9,898.32/14,854.74 = 7,973.76/x
  3. Step 3: Cross multiply
    9,898.32x = 14,854.74 × 7,973.76
  4. Step 4: Simplify right side
    9,898.32x = 118,448,131.62
  5. Step 5: Solve for x
    x = 118,448,131.62/9,898.32
  6. Step 6: Final answer
    x = 11,966.49

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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.