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Finding the Fourth Proportional to 7,478.04, 10,319.86 and 4,121

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Solution

The fourth proportional to 7,478.04, 10,319.86 and 4,121 is: 5,687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,478.04 : 10,319.86 = 4,121 : x
  2. Step 2: Convert to fraction form
    7,478.04/10,319.86 = 4,121/x
  3. Step 3: Cross multiply
    7,478.04x = 10,319.86 × 4,121
  4. Step 4: Simplify right side
    7,478.04x = 42,528,143.06
  5. Step 5: Solve for x
    x = 42,528,143.06/7,478.04
  6. Step 6: Final answer
    x = 5,687.07

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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.