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Finding the Fourth Proportional to 10,558.74, 14,564.72 and 6,973.74

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Solution

The fourth proportional to 10,558.74, 14,564.72 and 6,973.74 is: 9,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.74 : 14,564.72 = 6,973.74 : x
  2. Step 2: Convert to fraction form
    10,558.74/14,564.72 = 6,973.74/x
  3. Step 3: Cross multiply
    10,558.74x = 14,564.72 × 6,973.74
  4. Step 4: Simplify right side
    10,558.74x = 101,570,570.45
  5. Step 5: Solve for x
    x = 101,570,570.45/10,558.74
  6. Step 6: Final answer
    x = 9,619.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.