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Finding the Fourth Proportional to 9,804.72, 13,536.10 and 6,457.26

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Solution

The fourth proportional to 9,804.72, 13,536.10 and 6,457.26 is: 8,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.72 : 13,536.10 = 6,457.26 : x
  2. Step 2: Convert to fraction form
    9,804.72/13,536.10 = 6,457.26/x
  3. Step 3: Cross multiply
    9,804.72x = 13,536.10 × 6,457.26
  4. Step 4: Simplify right side
    9,804.72x = 87,406,117.09
  5. Step 5: Solve for x
    x = 87,406,117.09/9,804.72
  6. Step 6: Final answer
    x = 8,914.70

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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.