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Finding the Fourth Proportional to 6,509.16, 9,763.64 and 1,578.84

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Solution

The fourth proportional to 6,509.16, 9,763.64 and 1,578.84 is: 2,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.16 : 9,763.64 = 1,578.84 : x
  2. Step 2: Convert to fraction form
    6,509.16/9,763.64 = 1,578.84/x
  3. Step 3: Cross multiply
    6,509.16x = 9,763.64 × 1,578.84
  4. Step 4: Simplify right side
    6,509.16x = 15,415,225.38
  5. Step 5: Solve for x
    x = 15,415,225.38/6,509.16
  6. Step 6: Final answer
    x = 2,368.24

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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.