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Finding the Fourth Proportional to 6,569.64, 9,863.10 and 6,026.28

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Solution

The fourth proportional to 6,569.64, 9,863.10 and 6,026.28 is: 9,047.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.64 : 9,863.10 = 6,026.28 : x
  2. Step 2: Convert to fraction form
    6,569.64/9,863.10 = 6,026.28/x
  3. Step 3: Cross multiply
    6,569.64x = 9,863.10 × 6,026.28
  4. Step 4: Simplify right side
    6,569.64x = 59,437,802.27
  5. Step 5: Solve for x
    x = 59,437,802.27/6,569.64
  6. Step 6: Final answer
    x = 9,047.35

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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.