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Finding the Fourth Proportional to 6,497.75, 9,746.53 and 1,567.35

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Solution

The fourth proportional to 6,497.75, 9,746.53 and 1,567.35 is: 2,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.75 : 9,746.53 = 1,567.35 : x
  2. Step 2: Convert to fraction form
    6,497.75/9,746.53 = 1,567.35/x
  3. Step 3: Cross multiply
    6,497.75x = 9,746.53 × 1,567.35
  4. Step 4: Simplify right side
    6,497.75x = 15,276,223.80
  5. Step 5: Solve for x
    x = 15,276,223.80/6,497.75
  6. Step 6: Final answer
    x = 2,351.00

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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.