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Finding the Fourth Proportional to 9,752, 13,457.92 and 6,962.24

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Solution

The fourth proportional to 9,752, 13,457.92 and 6,962.24 is: 9,608.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752 : 13,457.92 = 6,962.24 : x
  2. Step 2: Convert to fraction form
    9,752/13,457.92 = 6,962.24/x
  3. Step 3: Cross multiply
    9,752x = 13,457.92 × 6,962.24
  4. Step 4: Simplify right side
    9,752x = 93,697,268.94
  5. Step 5: Solve for x
    x = 93,697,268.94/9,752
  6. Step 6: Final answer
    x = 9,608.01

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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.