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Finding the Fourth Proportional to 6,937, 9,573.12 and 4,457.32

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Solution

The fourth proportional to 6,937, 9,573.12 and 4,457.32 is: 6,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937 : 9,573.12 = 4,457.32 : x
  2. Step 2: Convert to fraction form
    6,937/9,573.12 = 4,457.32/x
  3. Step 3: Cross multiply
    6,937x = 9,573.12 × 4,457.32
  4. Step 4: Simplify right side
    6,937x = 42,670,459.24
  5. Step 5: Solve for x
    x = 42,670,459.24/6,937
  6. Step 6: Final answer
    x = 6,151.14

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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.