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Finding the Fourth Proportional to 4,038.90, 6,056.07 and 1,570.90

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Solution

The fourth proportional to 4,038.90, 6,056.07 and 1,570.90 is: 2,355.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,038.90 : 6,056.07 = 1,570.90 : x
  2. Step 2: Convert to fraction form
    4,038.90/6,056.07 = 1,570.90/x
  3. Step 3: Cross multiply
    4,038.90x = 6,056.07 × 1,570.90
  4. Step 4: Simplify right side
    4,038.90x = 9,513,456.81
  5. Step 5: Solve for x
    x = 9,513,456.81/4,038.90
  6. Step 6: Final answer
    x = 2,355.46

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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.