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Finding the Fourth Proportional to 7,458.65, 10,292.13 and 4,314.25

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Solution

The fourth proportional to 7,458.65, 10,292.13 and 4,314.25 is: 5,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.65 : 10,292.13 = 4,314.25 : x
  2. Step 2: Convert to fraction form
    7,458.65/10,292.13 = 4,314.25/x
  3. Step 3: Cross multiply
    7,458.65x = 10,292.13 × 4,314.25
  4. Step 4: Simplify right side
    7,458.65x = 44,402,781.18
  5. Step 5: Solve for x
    x = 44,402,781.18/7,458.65
  6. Step 6: Final answer
    x = 5,953.20

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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.