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Finding the Fourth Proportional to 7,595.76, 10,496.64 and 5,478.24

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Solution

The fourth proportional to 7,595.76, 10,496.64 and 5,478.24 is: 7,570.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,595.76 : 10,496.64 = 5,478.24 : x
  2. Step 2: Convert to fraction form
    7,595.76/10,496.64 = 5,478.24/x
  3. Step 3: Cross multiply
    7,595.76x = 10,496.64 × 5,478.24
  4. Step 4: Simplify right side
    7,595.76x = 57,503,113.11
  5. Step 5: Solve for x
    x = 57,503,113.11/7,595.76
  6. Step 6: Final answer
    x = 7,570.42

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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.