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Finding the Fourth Proportional to 9,875.70, 13,629.51 and 5,899.01

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Solution

The fourth proportional to 9,875.70, 13,629.51 and 5,899.01 is: 8,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.70 : 13,629.51 = 5,899.01 : x
  2. Step 2: Convert to fraction form
    9,875.70/13,629.51 = 5,899.01/x
  3. Step 3: Cross multiply
    9,875.70x = 13,629.51 × 5,899.01
  4. Step 4: Simplify right side
    9,875.70x = 80,400,547.64
  5. Step 5: Solve for x
    x = 80,400,547.64/9,875.70
  6. Step 6: Final answer
    x = 8,141.25

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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.