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Finding the Fourth Proportional to 7,465.78, 10,302.93 and 4,322.58

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Solution

The fourth proportional to 7,465.78, 10,302.93 and 4,322.58 is: 5,965.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,465.78 : 10,302.93 = 4,322.58 : x
  2. Step 2: Convert to fraction form
    7,465.78/10,302.93 = 4,322.58/x
  3. Step 3: Cross multiply
    7,465.78x = 10,302.93 × 4,322.58
  4. Step 4: Simplify right side
    7,465.78x = 44,535,200.52
  5. Step 5: Solve for x
    x = 44,535,200.52/7,465.78
  6. Step 6: Final answer
    x = 5,965.24

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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.