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Finding the Fourth Proportional to 7,114.59, 10,656.48 and 4,641.90

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Solution

The fourth proportional to 7,114.59, 10,656.48 and 4,641.90 is: 6,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.59 : 10,656.48 = 4,641.90 : x
  2. Step 2: Convert to fraction form
    7,114.59/10,656.48 = 4,641.90/x
  3. Step 3: Cross multiply
    7,114.59x = 10,656.48 × 4,641.90
  4. Step 4: Simplify right side
    7,114.59x = 49,466,314.51
  5. Step 5: Solve for x
    x = 49,466,314.51/7,114.59
  6. Step 6: Final answer
    x = 6,952.80

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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.