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Finding the Fourth Proportional to 10,009.16, 13,810.74 and 6,281.48

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Solution

The fourth proportional to 10,009.16, 13,810.74 and 6,281.48 is: 8,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,009.16 : 13,810.74 = 6,281.48 : x
  2. Step 2: Convert to fraction form
    10,009.16/13,810.74 = 6,281.48/x
  3. Step 3: Cross multiply
    10,009.16x = 13,810.74 × 6,281.48
  4. Step 4: Simplify right side
    10,009.16x = 86,751,887.10
  5. Step 5: Solve for x
    x = 86,751,887.10/10,009.16
  6. Step 6: Final answer
    x = 8,667.25

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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.