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Finding the Fourth Proportional to 7,038.76, 9,705.54 and 5,264.68

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Solution

The fourth proportional to 7,038.76, 9,705.54 and 5,264.68 is: 7,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.76 : 9,705.54 = 5,264.68 : x
  2. Step 2: Convert to fraction form
    7,038.76/9,705.54 = 5,264.68/x
  3. Step 3: Cross multiply
    7,038.76x = 9,705.54 × 5,264.68
  4. Step 4: Simplify right side
    7,038.76x = 51,096,562.33
  5. Step 5: Solve for x
    x = 51,096,562.33/7,038.76
  6. Step 6: Final answer
    x = 7,259.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.