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Finding the Fourth Proportional to 6,532.32, 9,798.57 and 1,602.08

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Solution

The fourth proportional to 6,532.32, 9,798.57 and 1,602.08 is: 2,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.32 : 9,798.57 = 1,602.08 : x
  2. Step 2: Convert to fraction form
    6,532.32/9,798.57 = 1,602.08/x
  3. Step 3: Cross multiply
    6,532.32x = 9,798.57 × 1,602.08
  4. Step 4: Simplify right side
    6,532.32x = 15,698,044.03
  5. Step 5: Solve for x
    x = 15,698,044.03/6,532.32
  6. Step 6: Final answer
    x = 2,403.13

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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.