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Finding the Fourth Proportional to 10,570.35, 15,844.08 and 6,875.22

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Solution

The fourth proportional to 10,570.35, 15,844.08 and 6,875.22 is: 10,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.35 : 15,844.08 = 6,875.22 : x
  2. Step 2: Convert to fraction form
    10,570.35/15,844.08 = 6,875.22/x
  3. Step 3: Cross multiply
    10,570.35x = 15,844.08 × 6,875.22
  4. Step 4: Simplify right side
    10,570.35x = 108,931,535.70
  5. Step 5: Solve for x
    x = 108,931,535.70/10,570.35
  6. Step 6: Final answer
    x = 10,305.39

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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.