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Finding the Fourth Proportional to 7,598.66, 10,478.36 and 5,917.10

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Solution

The fourth proportional to 7,598.66, 10,478.36 and 5,917.10 is: 8,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,598.66 : 10,478.36 = 5,917.10 : x
  2. Step 2: Convert to fraction form
    7,598.66/10,478.36 = 5,917.10/x
  3. Step 3: Cross multiply
    7,598.66x = 10,478.36 × 5,917.10
  4. Step 4: Simplify right side
    7,598.66x = 62,001,466.36
  5. Step 5: Solve for x
    x = 62,001,466.36/7,598.66
  6. Step 6: Final answer
    x = 8,159.53

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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.