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Finding the Fourth Proportional to 10,547.80, 15,821.70 and 8,042.20

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Solution

The fourth proportional to 10,547.80, 15,821.70 and 8,042.20 is: 12,063.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,547.80 : 15,821.70 = 8,042.20 : x
  2. Step 2: Convert to fraction form
    10,547.80/15,821.70 = 8,042.20/x
  3. Step 3: Cross multiply
    10,547.80x = 15,821.70 × 8,042.20
  4. Step 4: Simplify right side
    10,547.80x = 127,241,275.74
  5. Step 5: Solve for x
    x = 127,241,275.74/10,547.80
  6. Step 6: Final answer
    x = 12,063.30

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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.