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Finding the Fourth Proportional to 6,952.80, 9,597.48 and 4,598.16

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Solution

The fourth proportional to 6,952.80, 9,597.48 and 4,598.16 is: 6,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.80 : 9,597.48 = 4,598.16 : x
  2. Step 2: Convert to fraction form
    6,952.80/9,597.48 = 4,598.16/x
  3. Step 3: Cross multiply
    6,952.80x = 9,597.48 × 4,598.16
  4. Step 4: Simplify right side
    6,952.80x = 44,130,748.64
  5. Step 5: Solve for x
    x = 44,130,748.64/6,952.80
  6. Step 6: Final answer
    x = 6,347.19

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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.