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Finding the Fourth Proportional to 9,737.58, 14,582.94 and 5,564.97

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Solution

The fourth proportional to 9,737.58, 14,582.94 and 5,564.97 is: 8,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.58 : 14,582.94 = 5,564.97 : x
  2. Step 2: Convert to fraction form
    9,737.58/14,582.94 = 5,564.97/x
  3. Step 3: Cross multiply
    9,737.58x = 14,582.94 × 5,564.97
  4. Step 4: Simplify right side
    9,737.58x = 81,153,602.74
  5. Step 5: Solve for x
    x = 81,153,602.74/9,737.58
  6. Step 6: Final answer
    x = 8,334.06

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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.