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Finding the Fourth Proportional to 7,583.28, 10,457.28 and 4,598.64

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Solution

The fourth proportional to 7,583.28, 10,457.28 and 4,598.64 is: 6,341.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.28 : 10,457.28 = 4,598.64 : x
  2. Step 2: Convert to fraction form
    7,583.28/10,457.28 = 4,598.64/x
  3. Step 3: Cross multiply
    7,583.28x = 10,457.28 × 4,598.64
  4. Step 4: Simplify right side
    7,583.28x = 48,089,266.10
  5. Step 5: Solve for x
    x = 48,089,266.10/7,583.28
  6. Step 6: Final answer
    x = 6,341.49

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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.