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Finding the Fourth Proportional to 10,694.40, 16,041.60 and 6,547.20

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Solution

The fourth proportional to 10,694.40, 16,041.60 and 6,547.20 is: 9,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.40 : 16,041.60 = 6,547.20 : x
  2. Step 2: Convert to fraction form
    10,694.40/16,041.60 = 6,547.20/x
  3. Step 3: Cross multiply
    10,694.40x = 16,041.60 × 6,547.20
  4. Step 4: Simplify right side
    10,694.40x = 105,027,563.52
  5. Step 5: Solve for x
    x = 105,027,563.52/10,694.40
  6. Step 6: Final answer
    x = 9,820.80

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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.