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Finding the Fourth Proportional to 7,577, 10,457.70 and 4,265

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Solution

The fourth proportional to 7,577, 10,457.70 and 4,265 is: 5,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577 : 10,457.70 = 4,265 : x
  2. Step 2: Convert to fraction form
    7,577/10,457.70 = 4,265/x
  3. Step 3: Cross multiply
    7,577x = 10,457.70 × 4,265
  4. Step 4: Simplify right side
    7,577x = 44,602,090.50
  5. Step 5: Solve for x
    x = 44,602,090.50/7,577
  6. Step 6: Final answer
    x = 5,886.51

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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.